They also came up against each other when Brazil faced Uruguay.
When asked about the toughest defender he had faced, Suarez replied (via Metro): “A defender that has given me trouble and that I have faced several times was Thiago Silva.
“He is an admirable defender who I have always liked.”
Suarez, 34, left Barcelona last summer to join LaLiga rivals Atletico Madrid.
Diego Simeone’s side currently sit four points clear at the top of the division. Suarez has 19 league goals so far this season.
Silva, meanwhile, signed for Chelsea last summer on a deal until the end of this season.
He had previously spent eight years at PSG, where he won an astonishing total of 23 trophies.
He also played for AC Milan for three seasons, helping the team to the Serie A title in 2011.
Silva set to extend Chelsea stay?
The Brazil captain looks set to extend his contract with Chelsea into a second season, according to the Daily Express.
He has missed parts of this season through injury, but when fit has been a reliable option in the systems used by Frank Lampard and his successor Thomas Tuchel.
Silva was PSG captain when Tuchel was in charge at the French club.
When the German was appointed as Chelsea boss, Silva told the club’s official website: “I had two unbelievable years with Thomas Tuchel in Paris, including getting to the final of the Champions League.
“That was a really great year for everyone at PSG.
“So it’s a special moment for me with his arrival here.”
Since joining Chelsea, Tuchel has overseen a marked improvement in results. In the 14 matches he has taken charge of, the Blues have conceded just twice. They currently sit fourth in the Premier League table.
Silva has missed most of those games due to injury, but did complete 90 minutes in the first two matches of Tuchel’s reign.
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