Nunez has withdrawn with a suspected hamstring strain.
Uruguay have friendlies against the Basque Country on March 23 and Ivory Coast three days later.
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After their FA Cup defeat at Manchester United, Reds boss Jurgen Klopp said: Now, the boys go on international duty. We hope they come back healthy. Lucho (Diaz) felt his groin, Darwin hamstring.
"Cody (Gakpo) twisted his ankle."