Mujahid (may Allah have mercy on him) says: Sayyiduna Ibn Abbas (may Allah be pleased with them both) used to say the talbiyah in Umrah until he touched the Black Stone, then he would stop. And Sayyiduna Ibn Umar (may Allah be pleased with them both) used to say the talbiyah in Umrah until, when he saw the houses of Makkah, he would stop the talbiyah and turn to takbir and remembrance (dhikr) until he touched the Black Stone.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الحج / 9408