Saeed bin Musayyib (may Allah be pleased with him) says that the Sunnah in the funeral prayer is that a person says the takbeer, then recites Surah Al-Fatihah, then sends blessings upon the Prophet (peace and blessings of Allah be upon him), then sincerely supplicates for the deceased, does not recite (anything) after the first takbeer, then in his heart turns (salam) to his right side.
Hadith Referenceالمنتقى ابن الجارود / كتاب الجنائز / 540
Hadith Gradingغلام مصطفےٰ ظهير امن پوري:إسناده صحيح