In the 1988–1989 Championship he returned to Chievo, and was part of the team's most triumphant season (which resulted in their promotion to Serie C1).
In the 1996–1997 season, the one in which Chievo almost got a promotion in Serie A, he established along with Raffaele Cerbone one of several pairs of the League (32 total goals).
At the end of the season he left Chievo, together with the trainer Malesani, another big maker of the then excellent championship team.
After the long and successful period with Chievo, Cossato went to A.C. Venezia, which strongly fought to obtain the promotion in Serie A.
In the season 1998–1999 he had the opportunity to play in Serie A, but being not included in the plans of the team he didn't make its debut in the championship.
In his period in Bergamo, Cossato, due to several physical problems,[citation needed] wasn't able to express himself at best and to meet the high expectations placed on him.
Indeed, on June 24, 2001, during the play-off return to escape relegation in Serie B between Reggina and Hellas Verona, he put off a goal which meant salvation for the team.
In the summer of 2006 he accepted the proposal by Claudio Paiola, ambitious president of Domegliara, training veronese of Valpolicella.
In the summer of 2008 was reached by his brother Federico, but the permanence of both lasted only a few months and in December received the consensual termination of the contract.
At the beginning of June 2008, Cossato advocated to the ideals Po Valley and announced its aggregation row in the selection of Padania football team to tackle the 2008 edition of Viva World Cup, World Cup between national NF-Board and not recognised by FIFA, along with his brother Federico.