The Liga MX side mourned the death of the Portuguese legend, who played for the club in 1975.
"Club de Futbol Monterrey unites in the grief that overwhelms domestic and international football over the lamentable death of Eusebio da Silva Ferreira," read the statement. "We pray that his family and loved ones will find comfort shortly following this irreplaceable loss."
Eusebio joined Monterrey in 1975 and played 10 times for Los Rayados, scoring one goal and helping the team to the semifinals of the playoffs that year. He also captained the side on at least one occasion before heading to Canada to continue his career.
"My time at Monterrey was phenomenal, fantastic," Eusebio said in an interview with Globoesporte in 2011. "It was an experience that was magnificent from the start due to the way people received me."
Mozambique-born Eusebio died Sunday, and thousands lined the streets of Lisbon on Monday as his coffin was carried to Benfica's Estadio da Luz.
Portugal declared three days of national mourning for the forward, who died of a heart attack at age 71.