Not that my girl has this problem but was once told of this old wives' tale which I suppose you might want to try it out on your baby as there is no side-effect involved.
Put a tea bag (any types of tea) into a bowl of hot water and let it warm (not cold). Then use the a clean cloth and dip it into the warm tea and gently go round your baby's affect eye a few times. Do this 3-4 times daily and repeat it for 2-4 days.
Hope it works for you.