It should be possible to track in-/outbound calls from your mobiles call history with DoliDroid and save them as an event within dolibarr.
In the page to manage connection, allow a parameter:
"Accept interaction of smartphone events into the Dolibarr instance" to enter if instance accepts webservices with a token api key.
Add Button to DoliDroid to show systems call history in app and add possibility to attach a certain call to a contact within dolibarr (We choose among the list of instances that accept interaction, once done, we call api to show list of thirdparties and once selected, we call API to add the phone entry event).
After finishing a phone call to a known phone number (phone number of an existing contact within dolibarr), add the call event automatically to dolibarr as in- or outbound call of contact by calling the API.