There also remains only one player who has been worthy enough for Messi to actively ask for their shirt - Zinedine Zidane.
There is a theme though, if a fellow Argentinian asks for his shirt he will do so.
Recently, this has come more to light after his first few Paris Saint-Germain games, in which Mitchell van Bergen asked to swap shirts after Messi's debut against Reims but was rebuffed.
It would have been difficult enough to obtain Messi's shirt let alone after his debut.
The little magician was blunt about it, though, with the pair swapping a few words and clearly there was an understanding about it all.
After the game, Messi was seen taking photos on the pitch with Reim's players and family members, including Predrag Rajkovic's son.
He revealed to Argentine TV: "I don't ask for shirts, I usually swap them, but I asked Zidane once.
"If there is an Argentine I swap it with him, but, unless someone asks me, I'm not asking anyone."
Other than the great French midfielder, Messi doesn't seek out anyone's shirt despite his massive collection at his home.
There are some incredible names in Messi's shirt collection, with some evidence to his preference at swapping with Argentine players, including Ezequiel Lavezzi, Diego Milito and West Ham's Manuel Lanzini.
Cristiano Ronaldo's ethos on shirt-swapping must be slightly different, as the Portuguese star swapped shirts with Andros Townsend after the 1-1 draw at Old Trafford last weekend.
Townsend equalised for the Toffees and he even replicated Ronaldo's trademark celebration.
Ronaldo seemed to storm off at the final whistle alongside the England forward, clearly frustrated at United dropping more points in the league.
But there was no friction between them, despite the celebration, as Townsend posted on his Instagram shortly after the match with Ronaldo's shirt, with the caption: "Nothing but respect to the GOAT".
The winger then told talkSPORT on Monday: "I made it my goal that I was not leaving Old Trafford without Cristiano Ronaldo's shirt. You saw after the final whistle, I ran straight to him, I don't know what he was muttering but it wasn't English.
"He was muttering in Portuguese and I asked him three or four times for his shirt and eventually he gave in and said he would give it to me inside.
"I had to wait inside the dressing room and thankfully the kit man was able to sort it for me.
"That shirt I am going to keep with me."
Regardless, both of the 'GOATs' often have players and fans clambering for their shirts after a game with spectators often breaking stadium rules by pitch invading just to get a chance to greet their idols.
Shirt swapping has divided opinion recently - most notably with Roy Keane - but has been the norm for many years, with many players exchanging to show respect of performances.