وَحَدَّثَنِي عَنْ مَالِكٍ، عَنْ هِشَامِ بْنِ عُرْوَةَ، عَنْ أَبِيهِ، أَنَّهُ قَالَ إِنَّمَا أُنْزِلَتْ هَذِهِ الآيَةُ ‏{‏وَلاَ تَجْهَرْ بِصَلاَتِكَ وَلاَ تُخَافِتْ بِهَا وَابْتَغِ بَيْنَ ذَلِكَ سَبِيلاً‏}‏ فِي الدُّعَاءِ ‏.‏ قَالَ يَحْيَى وَسُئِلَ مَالِكٌ عَنِ الدُّعَاءِ فِي الصَّلاَةِ الْمَكْتُوبَةِ فَقَالَ لاَ بَأْسَ بِالدُّعَاءِ فِيهَا ‏.‏

Yahya related to me from Malik from Hisham ibn Urwa that hisfather said, "The following ayat was sent down about dua - 'And do notbe loud in your prayer and do not be silent in it, but seek a waybetween these.' " (Sura 17 ayat 110) Yahya said that Malikwas asked about making dua in obligatory prayers and he said, "Thereis no harm in making dua in them." Translation Not Available

Book Ref: Muwatta Imam Malik Book 15 Hadith 511
Web Ref:  Muwatta Imam Malik Book 15 Hadith 39