Fiorentina manager Cesare Prandelli as accused Rangers of reaching the Uefa Cup final by using deliberately negative tactics.
The Italians dominated the second leg of the semi-final in Florence and repeatedly pounded the Rangers defence, who kept a clean sheet thanks to some brave play and plenty of luck as Fiorentina wasted chance after chance.
Rangers then secured victory in a penalty shoot-out after the match and tie finished goalless, with Nacho Novo scoring the decisive spot-kick following misses by Fabio Liverani and Christian Vieri.
Prandelli said: "This great adventure is over and we have to accept the result even if we surely deserved more.
"We gave everything we had trying to score until the last minute of extra-time.
"Football is like this and today a team who focus on defending from the first to the last minute were rewarded.
"I'm sure we deserved to reach the final. Rangers came here just to stop us playing our best football and got the result they wanted.
"I have nothing to say to my players. The game would have been more entertaining if we were facing a team ready to play a bit more."
Midfielder Liverani believes Fiorentina were destined to miss out on the 14th May final in Manchester, where Rangers will face Zenit St Petersburg - former Light Blues boss Dick Advocaat's current club.
"It's been a cursed tie," said Liverani.
"Throughout the match I believed that sooner or later the goal would come, but we didn't succeed. I'm personally disappointed to have missed the penalty. The crowd have been great though, I must thank them."