All the tutorials around the topic are outdated, but following the general ideas of it I managed to get the RPI 3 receiving audio through bluetooth: The latest raspbian version at the moment, Jessie from May 16, brings every needed tool pre installed, so the only thing I had to do was to run pulseaudio and pair my device using bluetoothctl.
My problem is that the sound cuts intermittently (each 1-2 seconds) with a little noise in the background. After about 5-10 minutes the sound is muted completely.
The problem disappears if I use a bluetooth usb dongle, with which the sound is great and I tested it for more than an hour.
I tried to modify the config of pulseaudio changing the resampling method or other things that could be affecting the performance, but with no success.
So the problem here, I guess, is with the internal bluetooth. Is there any configuration I should check for the internal bluetooth? Is the internal bluetooth unable to accomplish this for some reason? Any other idea?