This ground cover seems to be thriving in full sun after a relatively wet fall and winter. This is in zone 10a San Diego.

Possibly Delosperma cooperi

https://www.google.co.uk/searc...

I'm not sure about the hairy stems on yours ..

https://www.google.co.uk/searc...

Flowers will help.

Thanks. I will keep this open and add images when I see some flowers.

This is a pure guess. Is there any way it could be this one:
Hairy Dewflower (Drosanthemum hispidum)

greene said:This is a pure guess. Is there any way it could be this one:
Hairy Dewflower (Drosanthemum hispidum)

That could be correct, I found some photos which have hairy stems but others have different leaves. It seems some are wrongly named, so we need to find a reliable source.

Calflora should be correct, the leaves are quite different on Drosanthemum hispidum..

http://www.calflora.net/losang...

I know this seller would name their plants correctly, the leaves match those on calflora, they are pointed with edges.

https://www.pottertons.co.uk/p...

So, what are the ones with hairy stems?

http://www.desert-tropicals.co...

Drosanthemum floribundum?

Delosperma cooperi (Purple Ice Plant) ...... though it is typically a more purple color as should not be confused in Southern California with the very common Rosea Ice Plant or Pink Ice Plant, Drosanthemum floribundum.

http://www.smgrowers.com/produ...

https://www.google.co.uk/searc...

Drosanthemum floribundum certainly has the hairy stems ..

http://www.nzpcn.org.nz/flora_...

Drosanthemum floribundum I think is your plant ..

http://www.public.asu.edu/~cam...

http://www.public.asu.edu/~cam...

http://luirig.altervista.org/f...

https://www.google.co.uk/searc...

Very pretty too! The flowers are so similar to one I grew from seed, it survived for several years, Delosperma ecklonis var. latifolia but the foliage is a little different.

greene pointed to Drosanthemum.