The second looks like a polygonum but I really can't see the leaves well enough. If the leaves weren't so shiny, I would say Lady's Thumb. Not sure about the first.

Hi michiet,

Are you interested in tropical plants by any chance. Because the first one looks like 'Bettle leaves' or could be pepper plant (both normally have look alike leaves--but still can find out the difference when looked close)and it is a slow growing creeper. Second, this always grows in my pots and take away large area. It gives out pink small stock like flowers--though pretty I still remove the plant because I want the intended plant to grow. Hope this helps you.

a