Several ways Fruity. It could be drilled, and fixed with small screws.
There are also some little unobtrusive corner brackets that would hold it in place.
Showing no fixings at all would be best. Just glue it with a "grab" adhesive (Gripfill type), or silicone sealant (prop it in place overnight while the silicone goes off.) You may have to scratch some wall paint off first as the glue might just pull the paint off.
For minimum mess on your wall, screw a piece of thin board to the wall and stick the mirror to that.