There are many tiny mat forming Veronicas from Turkey and similar areas that do well in Foothill gardens. Most do well given a well drained area and rocks to creep around. Ours are mostly in the rock garden and are watered weekly. We have grown many through the years and list a few of our favorites.
Flat mat of tiny round glossy leaves and dark blue flowers in spring. Likes crevices , creeping around rocks and well drained areas.
Loose mounds of silver leaves and long stems with true blue flowers.
Minute pinnate leaves on a tiny mat forming creeper. Violet-blue flowers in spring. Loves crevices. Needs good drainage. A personal favorite.
Grey-green woolly leaves and flowers of deep blue. Forms a nice mat for creeping between flagstones or decorating the edge of a path. Very tough. Highly recommended for foothill gardens.