"He's a very good player, like (Thierry) Henry a few years ago", he said.
Rumours had it that Cristiano Ronaldo, a Portugal national will be retiring from global football after a shocking exit from the World Cup 2018 in Russian Federation following their 2-0 defeat to Uruguay.
"Today we committed a mistake that led to the equaliser but we have a very strong team in terms of mindset", Tabarez added, citing the value of his team's "intensity, focus and tactical intuition". But if you think we are talking about a Celeste player, then you would be wrong.
But the 31-year-old has always had to do something special to be the centre of attraction in his career, fitting himself into different positions for the La Celeste, either for long-serving Uruguay forward Diego Forlan, who forced him to the wings, or for Suarez. We have already seen some of this with Edison Cavani and Kylian Mbappe's brace against their respected opponents. It was hard because the opposition had more ball possession and were very often in our half of the pitch. The rumours of fall outs and arguments between manager Jorge Sampaoli and the squad (and even the unlikely reports of Messi picking the team) show a talented group in total disarray off the pitch, which has been clearly transferred to their on-pitch performances.
Two-goal striker went down holding his right leg in an off-the-ball incident and was substituted with 16 minutes to go.
So as these two titans of the game both bow out of the World Cup, perhaps for the last time, how can their legacies be viewed and compared to the other greats of the game?
It was the ex-Paris Saint-Germain man who introduced Grizou to maté - which the Frenchman now takes with him on every trip - and who made him fall in love with another of his former clubs: Penarol.
Cavani told Uruguayan TV he felt a pain in his calf.
"I do not know what's going on in his head, but this is the World Cup".
"I don't make comments on individual players at all", Tabarez said. A study will be done and we'll see what can be done. I still haven't spoken with doctor.
Alli's team-mates are optimistic about their chances of progressing in the tournament despite being on the receiving end of a 1-0 defeat to Belgium in the final Group G match on Thursday. What Ronaldo lacked was somebody to combine with, in the way that Cavani and Suarez did-two players of nearly equal class but contrasting styles.