Found an issue on implementing service execution using Windows Azure Scheduler. The triggered call is a long running one. Scheduler times-out after 60 seconds, as waiting for response to request made by the job.
The solution I came out with, for my situation, was to modify service code (Web API), making method call asynchronous, so execution of the action method called by Scheduler job request continues and finished on time.
This is the code I used for calling the method asynchronously, at the Web API action method:
Task.Factory.StartNew(() => MyMethodClass.MyStaticMethod(parameter));