Both Crespo's goals were set up for him by the defender Paolo Vanoli in the 37th and 66th minutes, while Chiesa scored with a long-range shot in the 43rd and rounded off a counter-attack by converting a pass from Crespo in the 59th.
Crespo's compatriot, Juan Veron struck a brilliant free-kick just after half-time, and Abel Balbo made it four for the Argentinian contingent with a late penalty.
Victory kept alive Parma's quest for a rare treble; they are in the Italian Cup final and are tied for second place in Serie A. But the 1995 Uefa Cup-winners will have to play their semi-final first leg without defensive stalwart, Fabio Cannavaro, who collected his yellow card of the tournament after being booked for handball in the 54th minute.
Bologna scraped into the last four with a 3-2 aggregate victory over Lyon, who won the second leg 2-0 with first half goals by Alain Caveglia and the Cameroon striker Joseph-Desire Job. Lyon came close to pulling level on aggregate and taking the match into extra time when Caveglia hit the post just after the hour.
In the 86th minute, the Lyon centre-back Florent Laville was sent off for bringing down Bologna's veteran midfielder, Giancarlo Marocchi, his second bookable offence.
However, the third Italian side, Roma, were knocked out. Trailing 2- 1 from the first leg, they again lost to Atletico Madrid, by the same margin, and had two players sent off: Pierre Wome early on and Francesco Totti a minute from the end.
Marseilles went through on a 2-1 aggregate after a goalless draw in Spain against Celta Vigo. The French side played a defensive game, while Celta was unable to finish off frequent and sometimes frantic pushes forward that tended to fade away before they became dangerous.Reuse content