The result leaves PSG one point behind Lyon, who lost 2-1 away to Lorient.
The visiting back four, however, were barely threatened by a disappointing PSG side in the first half on a mild Parisian night.
He left days after the club sold Yohan "Kebab" Cabaye to PSG for £23m without buying a replacement.
But PSG have reportedly paid his €3m (£2.6m) release clause to secure his services on a one-year contract.
More intriguing is the notion that Capello would be a stop-gap appointment and that PSG will try to tempt Arsène Wenger to the club when his current Arsenal contract expires next summer.
Villas-Boas's representative, Carlos Goncalves, listened over the weekend to the proposals of PSG, who are bankrolled by Qatar Sports Investments, but Villas-Boas did not give them the encouragement that they wanted.
PSG do not have to look far for an example of what to do – and what not to do – against Barcelona.
PSG host Lens on Saturday and Lyon travel to Montpellier on Sunday before a decisive clash with Marseille the following weekend.
Verratti's 26th-minute header put PSG in front again before Matuidi caught the visitors' defence snoozing early in the second half.
Ibrahimovic was ruled out of the tie with a heel injury but PSG made up for his absence with Javier Pastore's brilliance and Verratti's grit.
PSG almost took the lead when the Monaco defender Fabinho mistimed a headed clearance following a PSG corner and the ball almost sailed into the opposite corner.
