[Teisani]

Damn! Found another one of those depictions. This one is from Códice De Trajes, 1547.
http://warfare.ueuo.com/Renaissance/...Trajes-59v.htm

And here's what that hat is "Mamluk red zamṭ hat". So his hat was very much associated with the Mamluks.
http://blog.slow-venice.com/fashion-...demia-gallery/
http://warfare.ga/16/Carpaccio-St_Ge...nites-zamt.htm
https://www.rct.uk/collection/990062...uk-dignitaries
https://commons.m.wikimedia.org/wiki...the_Louvre.jpg
https://it.m.wikipedia.org/wiki/File...giorgio_01.jpg

So the similarity between Wallachian and Mamluk depictions seems to be a coincidence only.