Fulham central defender Andy Melville was satisfied with his side's point, which brought to an end the Cottagers' six-match losing sequence in the Premiership.
"We dominated the first half and had enough chances to punish Southampton," said the Welsh international.
Steve Marlet gave the visitors the lead after only seven minutes when Saints keeper Paul Jones came up with one of the blunders of the season.
It handed the Frenchman one of his simplest goals to add to his strike for France against Scotland in midweek.
The home fans did not have to wait long for the reply, a goal that was worth the entrance money alone.
Rory Delap got on the end of a probing Jason Dodd pass and his control and finish were of the highest order leaving Edwin Van der Sar open-mouthed in disbelief.
"We always believed we had enough quality to turn the corner," continued the 33-year-old former Sunderland man.
Melville did admit that Strachan's side were somewhat unfortunate in the final exchanges: "We rode our luck a little bit towards the end," continued the experienced central defender.
Jean Tigana will probably be the more relieved of the two and Fulham's point away from home makes good reading given that Ipswich, Everton, Sunderland, Blackburn and Derby all lost on their travels.
Southampton face a tough trip to Ewood Park on Easter Monday while Fulham will be hoping to make home form count in the London derby against West Ham.
"It is a massive match for us and we need to get the three points," concluded Melville.