The second one is a free font called Romeral by Juan Pablo De Gregorio.

Jan, as usual, thank you very much for your time and your answer. Perfect match!
For the first one, I just can't believe it's custom... It's a very small restaurant and if I clearly remember, they use this typeface for the rest of their collaterals (menus...).
Similars or base font are welcome of course. Thanks.

You might like Regime or Vista Slab.

The top one is very close to Ink Gothic at Veer. The alternate faces have very similar letters.

- Mike Yanega

Thanks a lot Stephen and Mike.
The more I look at "tiramisu", the more I think it's a mix between regular and upright letters ("a", "m", "s" and "u" coming from the italic). FB Belizio would have been a start...