Males Mediterranean House Geckos make mouse-like squeaking sounds during territorial disputes with other males, and possibly just to announce that they are in possession of a certain territory or female. Males also make a series of clicking sounds to advertise their presence to females during the breeding season.
These are two different 15 second recordings of gecko chirps recorded at night in June in Travis County, Texas. The gecko was hidden in a crevice in a garage and was not seen making the calls, but it was regularly seen at this location. The chirps are similar to the reported fighting or territorial sounds produced by this species, but I have not been able to locate any other recordings of this gecko to confirm this. Insects, a White-winged Dove, and the usual urban drone are heard in the background.