Bale finished clinically midway through the second half to set Real up for their first victory in four games after a disappointing end to a La Liga campaign that saw their championship hopes wrecked.
Morata showed his predatory skills with two goals in the last five minutes while inbetween Pizzi pulled one back for Espanyol.
Real have 87 points, two fewer than leaders Atletico Madrid and one more than Barcelona who meet later in their final game of the season.
All eyes are on the Nou Camp where a Barca win would see them finish as champions due to a better head-to-head record.
The Portuguese did not want to take any risks ahead of the Champions League showdown with Atletico.
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- Atletico Madrid
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- Cristiano Ronaldo