Southampton remained rooted to the foot of the table after a late winner by Fulham's Joao Palhinha condemned the visitors to a fifth straight Premier League defeat.
James Ward-Prowse's superb second-half free-kick, which cancelled out his earlier own-goal, seemed set to secure his side a much-needed point.
But a clever flick-on from Kenny Tete set up Palhinha's 88th-minute header.
Aleksandar Mitrovic missed an injury-time penalty and the...