The Hammers will be thankful to their goalkeeper Jussi Jaaskelainen for ensuring they return to East London with a point as the veteran made a string of crucial saves to keep his side in it.
The home side had the better of the game and dominated both possession and territory but they were unable to find a way past a resolute Hammers defence.
In attack, the Hammers looked toothless and poor Modibo Maiga had a terrible game, barely registering a touch let alone a shot at goal.
The Hammers did have a fine chance to nick all three points with minutes left, but central defender James Collins blasted over the bar when found unmarked just inside the Southampton box.