I saw the berry you posted of this tree and I thought it was syzygium cumini, an edible fruit. However, looking at the leaves of the tree, I'm not so sure the correct identification. Is it possible for you to post a close up pictures of the leaves and the inside of the fruit.

Here is a picture of the tree,,,,,the berry is very small and the pit is almost as large as the berry itself

Berry and Pit

Nope, that is not the edible purple berry that I know of.