That saw Reims wrestled control of the match and almost go 1-0 up just after the half-hour mark through Diego, who shot just wide from a good position inside the PSG penalty area.
Gaetan Courtet failed to convert two good chances in quick succession before the half-time interval, and four minutes to the second period Ibrahimovic had his goal ruled out for offside.
Reims were reduced to 10 men on the hour mark when Christopher Glombard was dismissed for a second bookable offence, but they broke the deadlock four minutes later.
Lucas squandered a good chance midway through the second half, as he fired over the Reims bar after being released by Javier Pastore.
Lavezzi was guilty of not finding the target twice thereafter from comfortable positions and David Beckham also got involved, but failed to earn anything for PSG.