Clematis definitely don't like being scorched so wouldn't try those again, but lots of plants would be happy there, once established - that's the crucial bit.
They need a good deep root run to get down to where the soil doesn't completely dry out - if you are planting in the ground? Appreciate this is sometimes difficult near the footings of a house where there has been other landscaping like paths and steps.
Not sure if you are planting in containers though? Is so, make them as big as possible, but the plants - not too big! Bay might be OK here, as well as olive. Maybe an impermeable pot material rather than terracotta - metal will also get hot in the sun, so perhaps ceramic with a glaze doesn't need to be shiny)
Worth including something in the pot that retains moisture - not sure what would be best but the garden centre will know!
And then 'mulch' over the top with pebbles or stones, that will keep the soil shaded and moist but let the rain and watering can water though easily.
Good place for inspiration for plants for dry conditions in Beth Chatto - it is a lovely garden on very dry gravel in semi-arid Essex, so they know what survives! And they sell stuff too.