The Saints clearly had the better chances in a closely fought affair but they found Fulham keeper Edwin Van der Sar in tremendous form.
"We created enough opportunities to win the game and we just did not take our chances," Wigley said after the 1-0 defeat.
"At a level like this, we will get punished. Fulham were decisive with their one finish.
"Van der Sar is a quality keeper and has come out on top. On another day, we would have put them away, and we need to start doing that sooner rather than later."
"What we have to do is carry on believing."