He won a number of major titles with San Lorenzo and Boca Juniors and represented the Argentina national football team.
He helped the club to win the Metropolitano without losing a single game, making them the first unbeaten champions in the professional era of Argentine football.
In 1972 Veglio was part of the San Lorenzo team that won both of the Argentine league titles, this time they completed the Nacional championship without losing a game.
Veglio is one of only five players to have won four league championships with San Lorenzo, the others being Sergio Villar, Victorio Cocco, Roberto Telch and Agustín Irusta.
After retiring as a player, Veglio turned his hand to coaching, he has worked on the backroom staff at Boca Juniors and at Atlético Madrid, and was the field assistant to Carlos Bianchi.