In the Copa Libertadores Tigres played their first ever game in that tournament against Alianza Lima in Peru on 15 February 2005 (away, score: 0–0) and 3 May 2005 (home, score: 0–0). Their first ever win on the tournament, on 23 February 2005, against Caracas, from Venezuela (home, score: 3–1), and on 13 April 2005 (away, score: 2–5). This last game is the biggest-scoring game the team has had in its history on the tournament. In the same group was also the Banfield. Tigres confronted them on 15 March (home, score: 2–2) and on 6 April 2005 (away, score: 0–3).