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Featured Image Credit: PA
Messi completed his free transfer move to PSG on Tuesday after flying out to the French capital to complete his medical.
Di Maria has played alongside the 34-year-old Barcelona legend at international level and helped fire Messi to his first title with Argentina in this summer's Copa America.
The 33-year-old PSG star also shared the pitch with Juventus superstar Ronaldo at Real Madrid before signing for Manchester United in 2014.
However, Di Maria praised PSG's decision to land Messi after Barcelona were unable to sign him to a new deal due to La Liga's financial rules.
The Argentina international claimed that Messi is "from another planet" and former teammate Ronaldo "would like to be here."
Speaking to Argentine TV channel TyC Sports, Di Maria said: "Messi is from another planet. You throw a stone at him and he would control it, he beats a man like it is nothing, he thinks quicker than anyone. I have never seen anything like it.
"I've played with Cristiano, Neymar, [Kylian] Mbappe, [Wayne] Rooney, [Robin] Van Persie, [Zlatan] Ibrahimovic, [Karim] Benzema, [Gareth] Bale and honestly I've never seen anything like him.
"The quality and quantity that PSG have now is unique. It doesn't happen often at a club and the best players always want to be with the best.
"For sure Cristiano would like to be here, but they brought Messi and luckily, that's much better."
Ronaldo is expected to stay at Juventus for the new Serie A season, but his long-term future in Turin remains uncertain.
The 36-year-old Portuguese forward's current deal with the Italian side will expire in 2022.
However, PSG have been linked with a potential move for Ronaldo next summer if Madrid target Kylian Mbappe exits the club.