We gave our Maltese bottled water all the time and his tearing was such a little amount that he never got those yellow/orange markings that most Maltese get in their face hairs. We made sure the bottled water didn't have extra things added to it, like sodium.
Now we have our little Ginger and she gets water from the Brita filtered tap water jug. Both Ginger's vet and her groomer have said that this water system is excellent for her! She has very little tearing!
Hope these postings help you!