The Parisiens scored twice in the second half to romp to a 3-1 win and then mocked the Blues' travelling supporters on social media
Laurent Blanc's men took an early lead thanks to Ezequiel Lavezzi's stunning finish, but Eden Hazard's equaliser from the penalty spot briefly silenced the home support.
However, David Luiz carelessly bundled the ball into the back of the net from a PSG free-kick midway through the second half, before Javier Pastore's excellent solo dribble ended in a smart near-post finish to leave Jose Mourinho's men on the back foot ahead of next Tuesday's return leg at Stamford Bridge.
PSG's social media account - which has over 1.18 million followers - responded to the win by mockingly suggesting Chelsea fans look elsewhere for positive memories from their trip over the English Channel.
The reigning Ligue 1 champions then thanked title race rivals Monaco for their tweet in support of their French compatriots and warned the Blues that quarter-final elimination is in sight for the 2011-12 European champions.