Salim ibn Abd-Allah was the grandson of Umar ibn al-Khattab was a well known narrator of hadith (sayings of Muhammad), many of which he related first hand from either his father, Abd-Allah ibn Umar (died 693), or his grandfather, the caliph Umar ibn al-Khattab (r. 634-644).
Salim is mentioned in Imam Malik's Muwatta regarding the Islamic practice of rada'a, where a woman becomes unmarriageable kin (mahram) by means of suckling:
"Yahya related to me from Malik from Nafi that Salim ibn Abdullah ibn Umar informed him that A'isha umm al-muminin sent him away while he was being nursed to her sister Umm Kulthum bint Abu Bakr and said, "Suckle him ten times so that he can come in to see me." Salim said, "Umm Kulthum nursed me three times and then fell ill, so that she only nursed me three times. I could not go in to see A'isha because Umm Kulthum did not finish for me the ten times."
He, in Saheeh al-Bukhaaree alone, relates three Ahaadeeth.