It was a cautious start at the Liberty Stadium, with both sides entering the match without a win in their last six games.
On the hour mark Adrian was tested again as Jack Cork let fly from distance, arrowing a powerful volley towards the corner that the West Ham stopper did well to keep out.
Moments later Swansea had a case for a penalty when Ki's shot was blocked by Collins. The West Ham man writhed on the floor holding his head, but replays showed that the ball was prevented from going goalwards by the defender's outstretched hand.
© Getty Images
A point leaves Swansea two from safety after 17 games of the season, while West Ham, who have had three straight goalless draws in the league for the first time ever, sit eighth.