What is the best cure for naso-labial rosaceus-like egzema? i tried topical metronidazol but it didn't help.

Only controllable: There is no cure, but topical antibiotics and avoiding vasodilatory medications, including alcohol can help.

Naso labiaL: See your dermatologist. Must see the rash for an accurate diagnosis. However it could be seborrheic dermatitis which is treated by a combination of an anti fungal cream and a corticosteroid cream.

Rosacea: There are several topical med to treat rosacea; if Metronidazole doesn't work, an other might. There are also oral antibiotics like tetracyclines or erythromycin. Preventing triggers is important: use sunscreen. See dermatologist for options for your case.