Salut,
Je viens de tomber sur ton topic totalement par hasard, et il se trouve que j’ai travaillé sur le sujet pas plus tard qu’hier et réussi à mettre en place une solution. 
J’étais parti aussi sur le call API mentionné au dessus, mais ça nécessite d’abord de créer une fiche contact pour récupérer le PersonaID et ensuite requêter l’API. J’avais bricolé une solution avec selenium pour arriver à mes fins mais j’ai trouvé encore plus rapide et moins contraignant.
Après beaucoup de recherches, de tests et d’observations cette simple requête POST suffit pour obtenir ce que tu veux :
API Path :
https://sfeur.loki.delve.office.com/api/v1/linkedin/profiles/full?ConvertGetPost=true&Smtp=iliesgraffion%40gmail.com
Ici, c’est le paramètre Smtp qui va nous intéresser. Il suffit de le remplacer par le mail du prospect désiré.
Header :
'Content-Type' : 'application/json'
Body :
{"Accept":"text/plain, application/json, text/json","X-ClientType":"OwaPeopleHub","X-ClientFeature":"LivePersonaCard","X-LPCVersion":"1.20201214.3.1","authorization":"Bearer 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","X-HostAppCapabilities":"{}"}
Ce body est ensuite transformé en headers par l’API de Microsoft (va savoir pourquoi), donc tous ces paramètres sont bien à mettre dans le body en raw et non dans les headers de ta requête.
Le Bearer Token est nécessaire pour l’authentification et l’accès à l’API. Tu peux l’extraire du navigateur une fois connecté à Outlook. Il est personnel, et n’est plus utilisable dès lors que tu te logout de ton compte et que tu te reconnectes.
Tu peux le récupérer depuis la console développeur dans la section network en fouillant dans la requête person/?OlsPersonaId=AQQkADAwATNiZm… après avoir cliqué sur une de tes fiches contacts :
Et voilà ! Après tu n’as plus qu’à coller ses paramètres dans Postman ou te créer ta propre API en NodeJS ou Python 
Même pas besoin d’ajouter les contacts dans Outlook ou de se servir du PersonaID après leur création.
Iliès de Visum.run 
EDIT :
Petite précision toute de même concernant le Bearer Token : Ne spam pas trop car il y a une limite (par heure ou jour je ne sais pas encore) qui fera expirer ton token.
Si ça arrive, un message d’erreur te sera retourné par l’API. Tu n’auras qu’à te déconnecter et te reconnecter d’Outlook pour générer un nouveau token et le copier conformément aux instructions au dessus.
Voici le résultat complet de l’API quand il trouve un profil (ici c’est le mien) :
{
"resultTemplate": "ExactMatch",
"bound": true,
"bindUrl": "https://login.live.com/accountbind.srf?provider=linkedin.com&redirect_uri=https://loki.delve.office.com/linkedInAuthRedirect.aspx&client_id=000000004C1E916B&dualbind=1&mkt=&external_app=Owa&dualbindmobile=True",
"persons": [
{
"id": "urn:li:person:DgFCGRHxENv_VYOIJUAP0ixeer-eGf037HN4DJRMA3Q",
"displayName": "Iliès Graffion",
"headline": "Co-founder at ⛅ Repos Digital & 👁️ Visum.run⠀⠀⠀ ⠀⠀⠀⠀ ⠀Made in @StationF",
"companyName": "Repos Digital",
"location": "Greater Paris Metropolitan Region",
"photoUrl": "https://media.licdn.com/dms/image/C4D03AQHY9JVjFeZruw/profile-displayphoto-shrink_400_400/0?e=1614211200&v=beta&t=s_253lBxoNoZVWKa3Zj85tNkZWGExJnVHyIX-3eIxtA",
"linkedInUrl": "https://www.linkedin.com/in/iliesgraffion",
"reportProfileUrl": "https://www.linkedin.com/in/iliesgraffion/report",
"connectionCount": 500,
"isConnectionCountObfuscated": true,
"connectionDegree": "Self",
"connectionStatus": "NotConnected",
"skills": [],
"locale": {
"country": "us",
"language": "en"
},
"schools": {
"educationsCount": 4,
"educationHistory": [
{
"school": {
"schoolName": "ESILV - Ecole Supérieure d'Ingénieurs Léonard de Vinci",
"schoolLocation": "Courbevoie, ��le-de-France, France",
"schoolLogo": "https://media.licdn.com/dms/image/C560BAQG69M6NumF8QQ/company-logo_400_400/0/esilvparis_logo?e=1614211200&v=beta&t=o2cInG66AOaHPWSnpyey9ufiVA4JPbttr0dp_1Du650",
"linkedInUrl": "https://www.linkedin.com/edu/school?id=42867"
},
"degreeName": "Engineering degree",
"startEndDate": {
"start": {
"year": 2017
},
"end": {
"year": 2020
}
},
"fieldOfStudy": "Computers, Big Data and Connected Objects",
"schoolName": "ESILV - Ecole Supérieure d'Ingénieurs Léonard de Vinci",
"schoolLocation": "Courbevoie, ��le-de-France, France",
"schoolLogo": "https://media.licdn.com/dms/image/C560BAQG69M6NumF8QQ/company-logo_400_400/0/esilvparis_logo?e=1614211200&v=beta&t=o2cInG66AOaHPWSnpyey9ufiVA4JPbttr0dp_1Du650",
"linkedInUrl": "https://www.linkedin.com/edu/school?id=42867"
},
{
"school": {
"schoolName": "Université Paris Nanterre",
"schoolLocation": "Nanterre, ��le-de-France, France",
"schoolLogo": "https://media.licdn.com/dms/image/C4D0BAQF-aQ6o5egnhQ/company-logo_400_400/0?e=1614211200&v=beta&t=ebaHqzBHa3Xu6NZ0diZmw0j_dVZ1o_1_uZBIBA7bLVQ",
"linkedInUrl": "https://www.linkedin.com/edu/school?id=12550"
},
"degreeName": "D2E",
"startEndDate": {
"start": {
"year": 2020
},
"end": {
"year": 2021
}
},
"fieldOfStudy": "Entrepreneuriat",
"schoolName": "Université Paris Nanterre",
"schoolLocation": "Nanterre, ��le-de-France, France",
"schoolLogo": "https://media.licdn.com/dms/image/C4D0BAQF-aQ6o5egnhQ/company-logo_400_400/0?e=1614211200&v=beta&t=ebaHqzBHa3Xu6NZ0diZmw0j_dVZ1o_1_uZBIBA7bLVQ",
"linkedInUrl": "https://www.linkedin.com/edu/school?id=12550"
},
{
"school": {
"schoolName": "Conservatoire National des Arts et Métiers",
"schoolLocation": "France",
"schoolLogo": "https://media.licdn.com/dms/image/C4D0BAQGRQuv1v-KRxQ/company-logo_400_400/0/conservatoire_national_des_arts_et_mtiers_logo?e=1614211200&v=beta&t=WEajeVY1nbDekU0Xrs9ZjT2myRyXXTrZ7roxfAXauOg",
"linkedInUrl": "https://www.linkedin.com/edu/school?id=12298"
},
"degreeName": " Professional License Computer Systems and Database",
"startEndDate": {
"start": {
"year": 2015
},
"end": {
"year": 2016
}
},
"fieldOfStudy": " Analyst-Designer in Information and Decision System (ACSID)",
"schoolName": "Conservatoire National des Arts et Métiers",
"schoolLocation": "France",
"schoolLogo": "https://media.licdn.com/dms/image/C4D0BAQGRQuv1v-KRxQ/company-logo_400_400/0/conservatoire_national_des_arts_et_mtiers_logo?e=1614211200&v=beta&t=WEajeVY1nbDekU0Xrs9ZjT2myRyXXTrZ7roxfAXauOg",
"linkedInUrl": "https://www.linkedin.com/edu/school?id=12298"
}
]
},
"positions": {
"positionsCount": 8,
"positionHistory": [
{
"title": "Co-founder & CTO",
"startEndDate": {
"start": {
"month": 7,
"year": 2020
},
"end": {}
},
"description": "Repos Digital vous accompagne dans la suppression des données et la résiliation des contrats d'un défunt.",
"company": {
"companyName": "Repos Digital",
"companyLocation": "Paris, ��le-de-France, France",
"companyLogo": "https://media.licdn.com/dms/image/C4E0BAQFN0VMFEpvj1Q/company-logo_400_400/0?e=1614211200&v=beta&t=nL3munCdk7wI8urxGkcWBPq0e6Xu-Z-YnF5v2APUrzo",
"linkedInUrl": "https://www.linkedin.com/company/65841732/"
},
"companyName": "Repos Digital",
"companyLocation": "Paris, ��le-de-France, France",
"companyLogo": "https://media.licdn.com/dms/image/C4E0BAQFN0VMFEpvj1Q/company-logo_400_400/0?e=1614211200&v=beta&t=nL3munCdk7wI8urxGkcWBPq0e6Xu-Z-YnF5v2APUrzo",
"linkedInUrl": "https://www.linkedin.com/company/65841732/"
},
{
"title": "DevOps Engineer Apprentice",
"startEndDate": {
"start": {
"month": 8,
"year": 2017
},
"end": {
"month": 7,
"year": 2020
}
},
"description": "Integration and development of tools on PaaS Cloud Foundry and OpenShift.\nImplementation of a Development and Continuous Integration pipeline.",
"company": {
"companyName": "Orange",
"companyLocation": "Orange Gardens - Châtillon",
"companyLogo": "https://media.licdn.com/dms/image/C4D0BAQEIG5RkDRNPvg/company-logo_400_400/0/orange_logo?e=1614211200&v=beta&t=_8MUE3stUXmGfRwNdbDP3Sh5P2rhU3v9osZ5VtlhjvY",
"linkedInUrl": "https://www.linkedin.com/company/1110/"
},
"companyName": "Orange",
"companyLocation": "Orange Gardens - Châtillon",
"companyLogo": "https://media.licdn.com/dms/image/C4D0BAQEIG5RkDRNPvg/company-logo_400_400/0/orange_logo?e=1614211200&v=beta&t=_8MUE3stUXmGfRwNdbDP3Sh5P2rhU3v9osZ5VtlhjvY",
"linkedInUrl": "https://www.linkedin.com/company/1110/"
},
{
"title": "Digital Art Director",
"startEndDate": {
"start": {
"month": 1,
"year": 2018
},
"end": {
"month": 9,
"year": 2018
}
},
"description": "Project based on the Ethereum blockchain consisting in securing the transfer of its funds in cryptocurrencies and any file or media, in the event of death.",
"company": {
"companyName": "Recovery LTD",
"companyLocation": "Greater Paris Metropolitan Region",
"companyLogo": "https://media.licdn.com/dms/image/C560BAQEGXTEEekfnww/company-logo_400_400/0/recovery_pm_logo?e=1614211200&v=beta&t=pNykwTHEnrr9W4845jwpzbnmCOt0CcD0LD0zIY_6Gss",
"linkedInUrl": "https://www.linkedin.com/company/18543335/"
},
"companyName": "Recovery LTD",
"companyLocation": "Greater Paris Metropolitan Region",
"companyLogo": "https://media.licdn.com/dms/image/C560BAQEGXTEEekfnww/company-logo_400_400/0/recovery_pm_logo?e=1614211200&v=beta&t=pNykwTHEnrr9W4845jwpzbnmCOt0CcD0LD0zIY_6Gss",
"linkedInUrl": "https://www.linkedin.com/company/18543335/"
}
]
},
"skillEndorsements": {
"skillEndorsementsCount": 3,
"skillEndorsements": [
{
"skillName": "AngularJS",
"endorsementCount": 11,
"endorsers": []
},
{
"skillName": "Java",
"endorsementCount": 11,
"endorsers": []
},
{
"skillName": "PHP",
"endorsementCount": 10,
"endorsers": []
}
]
},
"newsMentions": {
"newsMentionCount": 0,
"newsMentions": []
},
"userGeneratedContents": {
"userGeneratedContentCount": 2,
"userGeneratedContents": [
{
"description": "",
"url": "https://www.linkedin.com/feed/update/urn:li:share:6738049258005520384",
"createdOn": {
"month": 11,
"year": 2020,
"day": 27
},
"thumbnails": [],
"mediaCategory": "NONE"
},
{
"description": "",
"url": "https://www.linkedin.com/feed/update/urn:li:share:6737727212352491520",
"createdOn": {
"month": 11,
"year": 2020,
"day": 26
},
"thumbnails": [],
"mediaCategory": "NONE"
}
]
}
}
],
"joinNowUrl": "https://www.linkedin.com/start/join"
}
Amusez vous bien, c’est très pratique pour enrichir son CRM 