the grass to me looks like pendulous sedge (could be wrong) and the climber looks very much like vinca vine. if i am wrong others will correct :)

My first thought on the grass was Carex Pendula too from the seedheads and I also agree with the Vinca.

yes I go with Carex pendula and Vinca major.

Agree, and both a royal pain as far as I'm concerned - you can keep the vinca under control by pulling the growths up in the air after flowering and chopping them off at about 2 inches, but the Carex will seed itself everywhere, and a large one has a very big rootball, not the easiest to dig out.

It certainly is a pain. I planted it in spite of Goy advice not to but its had to go - and seedlings are still appearing in my containers.

I think that Carex must be one of The Thugs of the World & I'm very glad I never planted it in my garden. Whip it out quick!