This poor bug-eaten plant came with the new patio, and I would like to know more about it before digging it out.

This plant has a central stem about two feet high, cut or broken at that point, with long trailing branches. It has a few clusters of tiny white flowers and a few clusters of small blue-black berries. It's so bug-eaten, I almost can't tell the leaf shape; leaves appear to be oval with pointy tips, dark green with pale green veining.

The soil looks like it might be old potting mix, so I would guess this started life in a nursery. Which makes me think it might be something useful or interesting.

Many thanks for your suggestions.