Anyway, he was off his game in the first match and Uruguay as a whole were so-so against Egypt, needing a late victor from Jose Gimenez to win by the single goal.
Uruguay and Russian Federation have both clinched a spot in the round of 16 of the FIFA World Cup in Russian Federation on Wednesday thanks to the a 1-0 win over Saudi Arabia by La Celeste in their second group stage match.
Suarez becomes the first Uruguayan to score in three World Cups and coach Tabarez admits he is vital to the national team.
Oscar Tabarez hailed the importance of match-winner Luis Suarez after the striker fired Uruguay into the knockout stages of the World Cup.
The 31-year-old has a chequered World Cup past after his 2010 quarter-final handball against Ghana and his biting of Italy defender Giorgio Chiellini four years ago, but has still scored five goals at the showpiece tournament in his career.
Bizarrely, two-time World Cup champions Uruguay have never beaten the "Green Falcons"; Saudi Arabia won a friendly in 2002 while a 2014 friendly ended in a draw.
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The Sky Blue should have beaten Egypt by a wider margin than they did but Luis Suarez could not finish multiple chances.
More World Cup on Yahoo Sports:• Is it time for Germany to panic after World Cup upset? If Uruguay wins today then they move on and Saudi Arabia is out.
Saudi Arabia also had to play most of the match without trusted midfielder Taisser Aljassam, who limped off before halftime with an injury after lunging forward for a challenge.
Yet with Portugal and Spain as prospective last-16 opponents, it remains to be seen what advantage either could grasp from winning the group when they meet in Samara on 25 June (15.00 BST kick-off).
"That was a huge blow to us and I'm proud of how my players came back from it", Pizzi said. "That's what I know".