Abdullah b. 'Umar (Allah be pleased with them) reported: Messenger of Allah ﷺ observed Tamattu' in Hajjat-ul-Wada'. He first put on Ihram for 'Umra and then for Hajj. and then offered animal sacrifice. So he drove the sacrificial animals with him from Dhu'l-Hulaifa. Messenger of Allah ﷺ commenced Ihram of Umra and thus pronounced Talbiya for 'Umra. and then (put on Ihram for Hajj) and pronounced Talbiya for Hajj. And the people performed Tamattu' in the company of Messenger of Allah ﷺ. They put on Ihram for Umra (first) and then for Hajj. Some of them had sacrificial animals which they had brought with them, whereas some of them had none to sacrifice. So when Messenger of Allah ﷺ came to Mecca, he said to the people: He who amongst you has brought sacrificial animals along with him must not treat as lawful anything which has become unlawful for him till he has completed the Hajj;
and he, who amongst you has not brought the sacrificial animals should circumambulate the House, and run between al-Safa' and al-Marwa and clip (his hair) and put off the Ihram, and then again put on the Ihram for Hajj and offer sacrifice of animals. But he who does not find the sacrificial animal, he should observe fast for three days during the Hajj and for seven days when he returns to his family. Messenger of Allah ﷺ circumambulated (the House) when he came to Mecca: he first kissed the corner (of the Ka'ba containing the Black Stone), then ran in three circuits out of seven and walked in four circuits. And then when he had finished the circumambulation of the House he observed two rak'ahs of prayer at the Station (of Ibrahim), and then pronounced Salaam (for concluding the rak'ahs), and departed and came to al-Safa' and ran seven times between al-Safa' and al-Marwa. After that he did not treat anything as lawful which had become unlawful till he had completed his Hajj and sacrificed his animal on the day of sacrifice (10th of Dhu'l-Hijja). and then went back quickly (to Mecca) and performed circumambulation of the House (known as tawaf ifada) after which all that was unlawful for him became lawful;
and those who had brought the sacrificial animals along with them did as Messenger of Allah ﷺ had done. This hadith has been narrated on the authority of 'A'isha. The wife of Messenger of Allah ﷺ, concerning his Tamattu' of Hajj and 'Umra and performing of Tamattu' by people in his company.

حَدَّثَنَا عَبْدُ الْمَلِكِ بْنُ شُعَيْبِ بْنِ اللَّيْثِ، حَدَّثَنِي أَبِي، عَنْ جَدِّي، حَدَّثَنِي عُقَيْلُ بْنُ، خَالِدٍ عَنِ ابْنِ شِهَابٍ، عَنْ سَالِمِ بْنِ عَبْدِ اللَّهِ، أَنَّ عَبْدَ اللَّهِ بْنَ عُمَرَ، - رضى الله عنهما - قَالَ تَمَتَّعَ رَسُولُ اللَّهِ ﷺ فِي حَجَّةِ الْوَدَاعِ بِالْعُمْرَةِ إِلَى الْحَجِّ وَأَهْدَى فَسَاقَ مَعَهُ الْهَدْىَ مِنْ ذِي الْحُلَيْفَةِ وَبَدَأَ رَسُولُ اللَّهِ ﷺ فَأَهَلَّ بِالْعُمْرَةِ ثُمَّ أَهَلَّ بِالْحَجِّ وَتَمَتَّعَ النَّاسُ مَعَ رَسُولِ اللَّهِ ﷺ بِالْعُمْرَةِ إِلَى الْحَجِّ فَكَانَ مِنَ النَّاسِ مَنْ أَهْدَى فَسَاقَ الْهَدْىَ وَمِنْهُمْ مَنْ لَمْ يُهْدِ فَلَمَّا قَدِمَ رَسُولُ اللَّهِ ﷺ مَكَّةَ قَالَ لِلنَّاسِ
" مَنْ كَانَ مِنْكُمْ أَهْدَى فَإِنَّهُ لاَ يَحِلُّ مِنْ شَىْءٍ حَرُمَ مِنْهُ حَتَّى يَقْضِيَ حَجَّهُ وَمَنْ لَمْ يَكُنْ مِنْكُمْ أَهْدَى فَلْيَطُفْ بِالْبَيْتِ وَبِالصَّفَا وَالْمَرْوَةِ وَلْيُقَصِّرْ وَلْيَحْلِلْ ثُمَّ لْيُهِلَّ بِالْحَجِّ وَلْيُهْدِ فَمَنْ لَمْ يَجِدْ هَدْيًا فَلْيَصُمْ ثَلاَثَةَ أَيَّامٍ فِي الْحَجِّ وَسَبْعَةً إِذَا رَجَعَ إِلَى أَهْلِهِ " . وَطَافَ رَسُولُ اللَّهِ ﷺ حِينَ قَدِمَ مَكَّةَ فَاسْتَلَمَ الرُّكْنَ أَوَّلَ شَىْءٍ ثُمَّ خَبَّ ثَلاَثَةَ أَطْوَافٍ مِنَ السَّبْعِ وَمَشَى أَرْبَعَةَ أَطْوَافٍ ثُمَّ رَكَعَ - حِينَ قَضَى طَوَافَهُ بِالْبَيْتِ عِنْدَ الْمَقَامِ - رَكْعَتَيْنِ ثُمَّ سَلَّمَ فَانْصَرَفَ فَأَتَى الصَّفَا فَطَافَ بِالصَّفَا وَالْمَرْوَةِ سَبْعَةَ أَطْوَافٍ ثُمَّ لَمْ يَحْلِلْ مِنْ شَىْءٍ حَرُمَ مِنْهُ حَتَّى قَضَى حَجَّهُ وَنَحَرَ هَدْيَهُ يَوْمَ النَّحْرِ وَأَفَاضَ فَطَافَ بِالْبَيْتِ ثُمَّ حَلَّ مِنْ كُلِّ شَىْءٍ حَرُمَ مِنْهُ وَفَعَلَ مِثْلَ مَا فَعَلَ رَسُولُ اللَّهِ ﷺ مَنْ أَهْدَى وَسَاقَ الْهَدْىَ مِنَ النَّاسِ .