Here's what I found:
However, I found that a song with a similar name is "H Fili Tis Koris Mou Greek Sirina" and I think that might be a mix of "Greek Siren" and a misspelling or variation of the song title. H Fili Tis Koris Mou Greek Sirina
The song "Greek Sirena" or more commonly known as "Sirtaki" was composed by Mikis Theodorakis and was made famous worldwide through the 1964 film "Zorba the Greek." Here's what I found: However, I found that