The Swans played out a 2-2 draw with Chelsea at Stamford Bridge in their opening Premier League game of the season.
Brazil international midfielder Oscar put the Blues in the lead midway through the first half, but Andre Ayew equalised for the visitors just before the half-hour mark.
Chelsea went 2-1 up just moments later when Federico Fernandez scored an own goal, but the home team went down to 10 men in the 55th minute following the sending-off of goalkeeper Thibaut Courtois.
The Belgium international was guilty of bringing down Bafetimbi Gomis inside the Chelsea penalty box, and the Swansea star himself stepped up to successfully convert the resulting spot kick.
Former Arsenal and West Ham United striker Hartson was following the game, and he was impressed with the way the Welsh outfit picked up a point at home of the reigning Premier League champions.
Great point for Swansea.. On today's evidence they could push on from last season.. Difficult but more than capable of doing it. #jacks— John Hartson (@JohnHartson10) August 8, 2015
Lee Dixon, a former Stoke City and Arsenal defender, was also watching the match, and he was impressed with Swansea as well.
Well played Swansea today. Played with no fear. Obviously the sending off effected the game but looked a good decision to me— Lee Dixon (@LeeDixon2) August 8, 2015