Narrated Abu Razin: A man of Banu Amir said: Messenger of Allah, my father is very old, he cannot perform hajj and Umrah himself nor can be ride on a mount. He said: Perform hajj and Umrah on behalf of your father.

Abdullah bin Abbas said Al Fadl bin Abbas was riding the Camel behind the Messenger of Allah ﷺ. A woman of the tribe of Khath’am came seeking his (the Prophet’s) decision (about a problem relating to Hajj). Al Fadl began to look at her and she too began to look at him. The Messenger of Allah ﷺ would turn the face of Fadl to the other side. She said Messenger of Allah ﷺ Allaah’s commandment that His servants should perform Hajj has come when my father is an old man and is unable to sit firmly on a Camel. May I perform Hajj on his behalf? He said yes, That was at the Farewell Pilgrimage.

Narrated Ibn Abbas: Saad bin Ubadah asked the Messenger of Allah ﷺ: My Mother has died and she could not fulfill her vow which she had taken. The Messenger of Allah ﷺ said: Fulfill it on her behalf.

Narrated Ibn Abbas: A woman came to the Prophet ﷺ and said (to him) that one month's fast was due from her mother who had died. May I fulfill them on her behalf? He asked: Suppose some debt was due from your mother, would you pay it ? She replied: Yes. He said: So the debt due to Allah is the one which most deserves to be paid.