Milan (Cyrillic: Милан) is a common Slavic male name and less commonly, a Roman name. It is derived from the Slavic element mil, with meanings kind, loving, and gracious. Milan was originally a diminutive or nickname for those whose Slavic names began with "Mil-".
In Czech the meaning of Milana is "gracious, favored." In Russian the name comes from the Russian word "milaya" which in turn comes from the Old East Slavic word "mil" meaning "dear, beloved, pleasant, sweet." So in Russian the name Milana means "dear, beloved, sweetheart, darling."