Totti had been out of action with a thigh strain for over a month, but returned with a goal in the 3-2 win.
Totti celebrated by waving Strootman's Number 6 jersey and later said: "It's as if he were here. He is a fundamental player and above all a great guy who settled in straight away.
"He's part of this group and I hope he can recover as soon as possible. He'll certainly be back stronger than ever."
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