Ringo does the same thing with my cats.  Most of the time they are up for a game of chase, but once in a while they don't want to be bothered. Fortunately they can get to a place that Ringo can't pursue so he looses interest.  I believe this is just being a puppy and not knowing when enough is enough.  So you have to set that boundary for your pup.  I usually put Ringo in his crate when he does this to anyone else in the house.  If they express that they aren't interested in playing, Ringo either goes to his crate or goes outside for a good long while.  I also give him a toy he likes to take with him and play with (helps with the distraction).  I leave him separated for at least 30 or so minutes so his little puppy brain is on to other activities.  When I do let him out I make sure that his "victim" is not around for him to see right away. If he starts his antics again in spite of my best efforts he is separated again.  Sometimes I have to leave him separated for even longer, but 30 minutes usually does it. 

The other thing I sometimes do is take him with me and shut him in the room where I am working.  He usually calms down really fast and goes to sleep.

The key is the separation.  Make for as long as it needs to be to give you and your Maltese a break from that puppy enthusiasm.