Uruguay joined Russian Federation in securing qualification from Group A, as Saudi Arabia and Egypt were eliminated, following the 1-0 result in Rostov-on-Don on Wednesday.
Saudi Arabia gave a far better performance than they produced in their 5-0 loss to the hosts but a poor mistake from replacement goalkeeper Mohammed Al Owais handed the South Americans the victor in Rostov-on-Don on Wednesday.
Suarez becomes the first Uruguayan to score in three World Cups and coach Tabarez admits he is vital to the national team.
As one fan tweeted: "We (Arabs) have to be honest, we don't deserve to play in big tournaments".
However, Tabarez is well aware of the 31-year-old's enduring quality, and as Suarez prepares to win his 100th cap on Wednesday the coach has told him to stay calm as he looks to open his account against Saudi Arabia in Group A. At the beginning of the second half, no team started challenging each other.
Uruguay can take the next step in its 2018 FIFA World Cup journey by piling more misery onto Saudi Arabia.
"We are focused on the match with Uruguay".
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Iran has objected to having members with additional capacity such as Saudi Arabia fill Venezuelan output gaps. Oil prices fell 2% after the Saudi minister spoke, before recovering slightly.
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With the last touch of the half, Lukaku reimbursed their two-goal advantage with a deft chip over an advancing Ben Mustapha. That goal served to halt Belgium's early dominance, but they did grab a third with nearly the last kick of the half.
The last two World Cups have seen Luis Suarez exit in ignominy, with a illegal "save" incident against Ghana in 2010 and biting Italy's Giorgio Chiellini in 2014.
Carlos Sanchez flighted in a corner, Mohammed Al-Owais completely misjudged it and Suarez had an open goal.
The only Arab team now with any hope is Tunisia, and they face the task of trying to beat a Belgium side who some tip to win the World Cup, after losing 2-1 to England in their first game.
"Each and every player aims at changing the image that we have conveyed because it is not the true image of Saudi football".
The rest of the first half was quiet and Uruguay went for the jugular four minutes after the break but Suarez's free kick was held by Al Owais.
However, Wednesday's resilient display was in total contrast, and one to be proud of, as they took the game to their more fancied opponents.
Pizzi also declined to directly address criticism leveled at the team by the chief of Saudi Arabia's sports authority, Turki Al-Sheikh.
They are solid, if unspectacular in midfield and they possess two genuine world-class stars at the top end of the pitch in Suarez and Edinson Cavani.