Abu Umama said that God’s Messenger was asked which supplication was most readily listened to, and replied, “One made in the course of the latter part of the night, and after the prescribed prayers.” Tirmidhi transmitted it.

وَعَنْ أَبِي أُمَامَةَ قَالَ: قِيلَ: يَا رَسُولَ اللَّهِ أَيُّ الدُّعَاءِ أَسْمَعُ؟ قَالَ: «جَوْفُ اللَّيْلِ الآخر ودبر الصَّلَوَات المكتوبات» . رَوَاهُ التِّرْمِذِيّ