Following a full fixture list on Saturday, the two sides looked sluggish in their early morning kick-off on Sunday, with neither team possessing the killer instinct in front of goal.
Momentum started off with Amakhosi as they attacked early on, but decision-making in front of goal was lacking as efforts went wayward.
The first half ended with the score-line unchanged as the midfield saw most of the action, with limited shots to test either goalkeeper.
Moroka Swallows fancied their chances in the second half and came out guns blazing, applying pressure on the Chiefs defence.
However, chances were few and far between as the clock ran down and the pace of the game slowed with each passing minute.
The two sides had to settle for a share of the spoils and a point-a-piece saw Chiefs hold onto second spot in Group B for the time being, with eight points from five games, while Swallows remain rooted to the bottom of the table, with two points from five games.