The Turks were unable to re-establish permanent control over any section of western Anatolia until the end of the 13th century when Turkish Ghazis established a permanent foothold in the region. However, it wasn’t until the early 14th century that the region was completely overrun by the Turks and new Beyliks, such as the Aydinids, were established.
Some Byzantine strongholds were able to hold out in the region for longer, with the final city, Philadelphia, not being captured by the Turks until 1390.
References
^Prof.Yaşar Yücel-Prof Ali Sevim:Türkiye tarihi vol I, AKDTYKTTK Yayınları, 1991, pp 174