Al-Nasaʾī, in several passages of his Sunan, states: “Abū Dāwūd narrated to us; Sulaimān ibn Ḥarb narrated to us; an-Nufaylī narrated to us; ʿAbd al-ʿAzīz ibn Yaḥyā al-Madīnī, ʿAlī ibn al-Madīnī, ʿAmr ibn ʿAwn, Muslim ibn Ibrāhīm, and Abū al-Walīd narrated to us.” It therefore appears that the Abū Dāwūd mentioned in all these places is al-Sijistānī, for he is known to transmit from this set of seven teachers. However, Abū Dāwūd Sulaimān ibn Saif al-Ḥarrānī also shares some of those teachers with him, and al-Nasaʾī frequently narrates from al-Ḥarrānī.
Al-Nasaʾī likewise relates in his book al-Kuna from Sulaimān ibn al-Ashʿath, without using his kunya.
The ḥadith master Ibn ʿAsākir records in al-Nabal (1) that al-Nasaʾī transmits from Abū Dāwūd al-Sijistānī.
A number of authorities who had heard Ibn Tabarzad informed me: Abū al-Badr al-Karkhī told us; Abū Bakr al-Khaṭīb told us; Abū ʿUmar al-Hāshimī told us; Abū ʿAlī al-Luʾluʾī told us; Abū Dāwūd told us; Muḥammad ibn Kathīr narrated to us; Jaʿfar ibn Sulaimān reported to us, from ʿAwf, from Abū Rajāʾ, from ʿImrān ibn Ḥuṣayn, who said:
A man came to the Prophet ﷺ and said: as-salāmu ʿalaykum (peace be upon you). The Prophet returned the greeting, whereupon the man sat down, and the Prophet ﷺ said, “Ten.”
Another man then came and said: as-salāmu ʿalaykum wa raḥmatullāh (peace be upon you and the mercy of Allah). He returned the greeting, the man sat down, and he said, “Twenty.”
A third man came and said: as-salāmu ʿalaykum wa raḥmatullāh wa barakātuh (peace be upon you, the mercy of Allah, and His blessings). He returned the greeting, the man sat down, and he said, “Thirty.” (2)