On reaching the sanctuary of Mecca, Ibn ʿUmar used to stop, reciting Talbiya and then he would pass the night at Dhi-Tuwa and then offer the Fajr prayer and take a bath. He used to say that the Prophet ﷺ used to do the same. (Using translation from Bukhārī 1573)
عَنِ التَّلْبِيَةِ ثُمَّ يَبِيتُ بِذِي طُوًى ثُمَّ يُصَلِّي بِهِ الصُّبْحَ وَيَغْتَسِلُ وَيُحَدِّثُ أَنَّ نَبِيَّ اللهِ ﷺ كَانَ يَفْعَلُ ذَلِكَ»