The former Parma goalkeeper rejoins Juventus after spending just a season in the Ligue 1 with Paris Saint-Germain.
Having turned down an offer to remain with the Parc de Princes outfit, it was clear Buffon was joining Juventus.
Buffon is reported to have signed a contract expected to expire in 2020.
"At the end of my career I was able to play with Neymar and [Kylian] Mbappe thanks to Paris Saint-Germain, now it will happen with Cristiano Ronaldo thanks to Juventus.
"I think that for players with my experience and with my history, to be able to end the career in such a way is a splendid gift."
Buffon, who was the captain for the side before leaving rejected the status when it was offered to him by current captain Giorgio Chiellini and the number one jersey by Szczesny.
The 41-year old insists he does not want to offend anyone at the club in his second coming.
"I would like to thank Szczesny and Chiellini, who offered me the number one jersey and the captain's armband," he added.
"I am here to contribute as I have always done, not to take anything away from someone. The first-choice goalkeeper of Juve must have the number one and Giorgio, who is my brother, must be captain.
"I took number 77, which is in my history and in the history of Parma. That was the shirt that took me to Juventus and it was something that inspired me."
