At least I think it is a peperomia. It looks like a cross between Peperomia puteolata (parallel peperomia) and Peperomia prostrata.
It has two types of leaves. The lower ones are thick and juicy 🙂 and the upper ones are bigger and flatter. Although I did notice once I take the plump leaves off the stem in about a day they also appear flat, losing all the water they once held.
I love the beautiful markings on the leaves. It is a bit similar to that on the leaves of Peperomia prostrata while the red stems are reminiscent of the Parallel peperomia. The stems on this plant trails like on the prostrata instead of standing upright like the parallel peperomia. It has a beautiful transluscent surface covering like the prostrata as well which makes it quite hard to get a good focus of the plump leaves on the camera.
I keep it in a shouth-west window and it is doing well. I water it like I do my other peperomias.
So, do any of you know what the name of this plant is? Any input would be great.
***EDITED*** this plant has been identified as Peperomia rubella. Thanks Rod Lutes.