The monogram is certainly not a tughra, but seem to be a ligature of Latin L and S.
Is seems plausible that the left image is upside down. There seems to be an engravers mark "X.X" (I can't establish which letters exactly), and the place of the dot indicates what is top or bottom. In that case it would be a ligature of S and I, and the rest of the curls form a heart. Love token?
I suppose you think it looks like a tughra, hence the suggestion it's from the Ottoman Empire?
The first picture should be turned 180º ─ note the initials in small letters with a dot between that should be on the line, not above. [Oh! I see ArnoV saw the same thing, so +1.]
Once turned, the large letter on the right is a "D". The first letter seems to be a "V".
So, "V D" surmounted by a heart. If you follow the line, it forms the "V", then the "D", and finally the "♥".