Saudi Arabia have been eliminated at the group stage in four of the five World Cups they have competed in.
They have failed to win any of their 12 World Cup matches, drawing two, and have not scored in nine of those games.
Uruguay have won all four of their World Cup matches against Asian opposition.
This was the eighth 1-0 win at Russia 2018, equalling the total in the entire group stage of the 2014 World Cup.
Uruguay have now kept consecutive clean sheets in the World Cup for the first time since a run of three in 2010.
Luis Suarez’s winner for Uruguay was the 25th scored from a set-piece at this tournament from a total of 44 goals (57%).
Suarez became the sixth player to make 100 appearances for his country.
He also became the first Uruguay player to score in three World Cups.