kind of you to format the pieces to permit me to audit them. there's a genre of short romantic pieces, often performed as encores, popular in the late romantic period(richard strauss, rachmaninov, mahler, just for chronological reference, their compositions don't resemble these two songs), but don't know those encore pieces, sometimes called 'bon-bons'(small confections) at all, and those that come to mind are not like these two Sunico compositions. there is a ton of stuff from operettas and light opera, regular opera as well that is outside my experience. no offense, but my instincts tell me that these songs come from a popular music tradition, not art ("classical") music tradition. they seem very much influenced by what's known as 'the great american songbook', which is really an unruly steamer trunk of songs from tin pan alley, vaudeville, stage musicals, and film soundtracks, and one of the principal sources of what is termed 'jazz standards'. the arrangements on these two tunes remind me very much of the way jazz ballads are put together.
there's a well known standard ballad that you might listen to, and perhaps hear its similarity to Sunico's style in these two pieces. the original lyrics were Spanish, written for a Mexican popular song titled, "Cuando vuelva a Tu Lado", though the english versions which became hits for several singers were called, "What a difference a day makes". two of the best renditions are by Dinah Washington (probably the most iconic), and an instrumental interpretation by the Argentine tenor saxophonist, Gato Barbieri, with a lot of its original hispanic character.
most of the folks here on the piano forum are more knowledgeable and musicologically trained than me (pianistically, virtually everyone), hope your curiosity gets satisfied. peace