in the team's training camp in Malta,[3] Grimi's competitive debut for the Rossoneri took place against A.C. Arezzo in a 2–0 win in that season's Coppa Italia.
[7] He played 20 official games in his first year – nine in the Primeira Liga – as his team finished in second position and also won the Taça de Portugal, with him featuring the full 120 minutes in a 2–0 extra time defeat of FC Porto.
[9][10][11] He scored his only goal in the Portuguese top tier on 14 March 2010, opening an eventual 3–1 home win over Vitória de Guimarães.
[12] After the arrival of Evaldo from S.C. Braga in the 2010 off-season, Grimi became a fringe player,[13] making just four overall appearances during the season – two in the league, totalling 253 minutes – and being loaned in the last day of the 2011 summer transfer window to K.R.C.
[14] After leaving the Estádio José Alvalade in June 2013 as a free agent, Grimi represented Godoy Cruz Antonio Tomba, Racing Club de Avellaneda[15] Newell's Old Boys[16] and Huracán, always in his country's top flight.