Cufré moved to A.S. Roma in January 2002. During his time at the Italia Serie A side, he played 80 games, scored two goals and received the award for Best Defender in Italy. He was also loaned out to fellow Italian side Siena, where he played 35 times.
Monaco
Cufré moved to France in Summer 2006, joining Ligue 1 side AS Monaco During his time at the club, he made 61 appearances and managed to score three goals. Cufré was a regular starter and, eventually, vice-captain of the team.
On 18 July 2009, Cufré returned to Gimnasia La Plata after eight years in Europe. On 16 August 2009, after a mini "soap opera," the Argentine wingback asked for – and was granted – his release due to a conflictive relation with Leonardo Madelón, the head coach at the time.
On 19 August 2009, he officially signed a contract with Croatian champions Dinamo Zagreb who had reportedly been persuading him to join the club since the summer transfer window opened. Cufré became a favourite with the Dinamo fans because of his commitment on the pitch. He played in many important matches for Dinamo. In 2011, he was linked with a transfer to Crvena Zvezda but the deal fell through. Cufre played in 53 matches for Dinamo. On 5 December Cufré and Dinamo agreed mutual termination of contract. Argentinian stated that he would be continuing his career in Mexico.
On 7 December 2011, same day he officially terminated his contract with Dinamo Zagreb, it was revealed that Cufré would be joining Mexican Club Atlas from Guadalajara.
International career
Leandro Cufré has earned 17 caps for Argentina, his first appearance coming in 2000. He was part of the Argentina Under-20 team that won the 1997 FIFA World Youth Championship in Malaysia. Cufré was also a member of the Argentina squad for the 2006 FIFA World Cup in Germany. On 30 June 2006, Cufré was red carded for violent conduct in an altercation following the World Cup quarter-final match against Germany, which Argentina lost 4–2 on penalties. Germany's Per Mertesacker said Cufré, an unused substitute in the match, "attacked me even though I did not do anything. I have three or four red marks on my thigh and then he kicked me again in the groin." FIFA president Sepp Blatter said "I am furious about that and our disciplinary committee will monitor this incident. We will take some steps towards those who are identified as being the 'provocateurs' of this incident." For this attack, Cufré received a red card, which made him the first player ever to be sent off in a World Cup match after the final whistle. FIFA fined Cufré CHF 10,000 and suspended him for four matches.
