Ibn Umar (may Allah be pleased with him) said that when the Messenger of Allah (peace and blessings be upon him) performed tawaf of the House, he walked briskly for three rounds and slowly for four, and Ibn Umar (may Allah be pleased with him) also used to do so. And when he went between Safa and Marwah, he would run in the bed of the valley (Batn al-Masil). Ubaydullah said: I said to Nafi': When Ibn Umar (may Allah be pleased with him) reached the Yemeni Corner, would he walk? He said: No, except when there was a crowd there, for he would not leave the Corner without touching it.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 9282
(a) Sayyiduna Ibn Umar (may Allah be pleased with him) said that when the Messenger of Allah (peace and blessings be upon him) came to Makkah and performed tawaf for Hajj and Umrah, he would run three rounds around the House and walk four, then pray two rak'ahs, then go between Safa and Marwah.
(b) In the narration of Shuja' the wording is: When he came for Hajj and Umrah and performed tawaf, he would run three rounds around the House and walk four rounds slowly. He did not mention the words after that.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 9283
Ibn Abbas (may Allah be pleased with him) said that the Prophet (peace and blessings be upon him) did not perform ramal in the seven rounds in which he performed Tawaf al-Ifadah. Ata (may Allah have mercy on him) said: There is no ramal in it.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 9284
Nafi' said that whenever Abdullah bin Umar (may Allah be pleased with him) entered ihram from Makkah, he would not perform tawaf of the House or go between Safa and Marwah until he returned from Mina, and when he entered ihram from Makkah he would not run (sa'y) in the tawaf of the House.
Imam al-Shafi'i (may Allah have mercy on him) said regarding this statement, "He would not run": that is, he would not perform ramal. Whoever entered ihram from Makkah, or performed tawaf before Mina and then performed tawaf on the Day of Sacrifice, will not perform ramal. Ramal is in the initial tawaf.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 9285