This is a bicolour masyu puzzle. Instead of making one continuous loop, the goal is to make two separate loops, one blue and one red. The coloured circles must be used for the loop of the same colour, whereas black circles can be used for either colour.
I believe this is the unique solution:
Solid circle near bottom right has to be red because otherwise you can't get the red underneath it out. That rapidly resolves the ambiguous circles over on the right. Then there isn't enough space to connect the blue parts without going around the top left, which tells you which way the "arms" of the solid red circle near the top left go. The rest is straightforward.
My apologies for the inelegance of my diagram; as you may guess, I drew some things in grey before their colours were resolved.