The French champions squandered a number of opportunities as they were held by Reims but the midfielder insists their display was full of positives.
Zlatan Ibrahimovic opened the scoring as he converted Pastore's clever pass before the visitors missed a host of first-half chances, with the Sweden star hitting the post with the goal gaping and seeing a penalty saved.
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Reims snatched a 2-1 lead just before halftime and battle to hold on to a point after Ibrahimovic had contrived to drag PSG level, but Pastore maintains there should be no cause for alarm despite the dropped points.
"The team played well," he was quoted as saying by Le 10 Sport after the match. "I think we had a lot of possession, a lot of chances and shots. We didn't take them, but we will continue to improve for the rest of the championship. If we carry on like this, the results will come.
"The preparation was good, it is normal to have a few difficulties ahead of the first match."
PSG travels to Italy for a friendly against Napoli on Monday, after which it will be looking for its first win of the new Ligue 1 season against Bastia on Aug. 16.