- 64 appearances for Argentina National Football Team; scored 35 goals (1995-2007). Member of the Copa América 2007, and the France '98, South Korea/Japan '02 and Germany '06 squads.
- Striker for River Plate (1993-1996), Parma Calcio 1913 (Italy, 1996-2000, 2010-2012), S.S. Lazio (Italy, 2000-2002), Inter Milan (Italy, 2002-03, 2006-2009), Chelsea F.C. (England, 2003-04, 2005-06), A.C. Milan (Italy, 2004-05) and Genoa C.F.C. (Italy, 2009-10), in all 608 games and 271 goals.
- Top Scorer: Argentine Primera División (1994 Clausura), Summer Olympics (1996) and Serie A (2001).
- Honours with River Plate: 2 Argentine Primera División (1993 Apertura, 1994 Apertura); Copa Libertadores (1996). Honours with Parma Calcio 1913: Coppa Italia (1999); UEFA Europa League (1999); Supercoppa Italiana (1999). Honours with S.S. Lazio: Supercoppa Italiana (2000). Honours with A.C. Milan: Supercoppa Italiana (2004); UEFA Champions League (2005 runners-up). Honours with Chelsea F.C.: Community Shield (2005); Premier League (2006). Honours with Inter Milan: 3 Serie A (2007-2009); 2 Supercoppa Italiana (2006, 2008).
- Member of the Argentine National team who finished runners-up of the 1995 King Fahd Cup and the 2007 Copa América.
- Won the gold medal with Argentine U23 Team in the 1995 Pan American Games.
- Won the silver medal with Argentine Football Team in the 1996 Summer Olympics.
- He is Italian club Parma Calcio 1913's all-time top scorer.
- Scored goals at the final matches of the Copa Libertadores, Coppa Italia, Supercoppa Italiana, UEFA Cup and UEFA Champions League.
- Named in the ESM Team of the Year in 2001.
- 2004: One of FIFA 100 by Pelé.
- Father of, with Alessia Rossi Andra, Nicole Crespo (b. 2004), Sofía Crespo (b. 2006) and Martina Crespo (b. 2015).
- Won the Silver Shoe at the 2006 FIFA World Cup.
- Nominee in the FIFPro World XI two times (2005 and 2006).
- Retired from football at the age 36. (2012)
- Played well over 450 games at the Serie A.
- Four-time Ballon d'Or nominee (1997, 1999, 2000 and 2001).
- Played well over 200 games for Parma Calcio 1913.
- Played well over 100 games for Inter Milan.
- Scored well over 300 goals in his career.
- Scored 11 hat-tricks in his career against C.A. Belgrano, Colombia U23, Vicenza Calcio, Yugoslavia National Football Team, Udinese Calcio, Juventus F.C., Hellas Verona, Brescia Calcio, Venezia FC, US Lecce and S.S. Lazio.
- Head coach of Parma's youth teams (Italy, 2014), Modena (Italy, 2015-16), C.A. Banfield (2019), Defensa y Justicia (2020-21) and São Paulo F.C. (Brazil, 2021) and Al-Duhail SC (Qatar, 2022-).
- Vice president of the Parma Calcio 1913 since July 2017.
- Separated from Alessia Rossi Andra after 17 years together. (2019)
- As a coach, he won the Copa Sudamericana (2020) with Defensa y Justicia.
- Boyfriend of Antonella Silguero since October 2021.
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