I asked Al-Husain bin Muhammad who was one of the sons of Salim and one of the nobles amongst them, about the narration of Mahmud bin Ar-Rabi 'from `Itban bin Malik, and he confirmed it.
Sahih al-Bukhari Book 64, Hadith 61
← Previous Hadith That `Itban bin Malik who was one of the companions of the Prophet (ﷺ) and one of the warriors of Badr, came to Allah's Messenger (ﷺ).

Sahih al-Bukhari Book 64, Hadith 60 Next Hadith → who was one of the leaders of Bani `Adi and his father participated in the battle of Badr in the company of the Prophet. `Umar appointed Qudama bin Maz'un as ruler of Bahrain, Qudama was one of the warriors of the battle of Badr and was the maternal uncle of `Abdullah bin `Umar and Hafsa.

Sahih al-Bukhari Book 64, Hadith 62