After offering the Sunna of the Fajr prayer, the Prophet ﷺ used to talk to me, if I happen to be awake; otherwise he would lie down till the Iqama call was proclaimed (for the Fajr prayer).  

أَنَّ النَّبِيَّ ﷺ كَانَ إِذَا صَلَّى {سُنَّةَ الْفَجْرِ} فَإِنْ كُنْتُ مُسْتَيْقِظَةً حَدَّثَنِي وَإِلاَّ اضْطَجَعَ حَتَّى يُؤْذَنَ بِالصَّلاَةِ