THE name Elsa Lunghini may not ring a bell for many pop fans here, but several of her songs are familiar in Hongkong, sung as cover versions by local singers. Two of her songs - ''Qu'est Ce Cue Ca Peut Lui Faire'' and ''Quelque Chose Dans Mon Coeur'' - have been been sung in Cantonese by popular stars Cally Kwong and Alex To respectively. In an intervew with Young Post , the up-and-coming French singer said: ''I find it very nice that people in Hongkong are getting to know me through the Cantonese versions of my songs. I like that very much!'' Lunghini, who is just 19, was in Hongkong recently during her three-week Asian tour to promote her latest album, Douce Violence. This was her first visit to Asia, but she plans to make many more as she would like to ''make it into the local music scene'' and give concerts in Hongkong. ''I want to discover this town!'' she said. Does she expect difficulties breaking into the local market, since most of her songs are in French? ''It's difficult anyway, whether you sing in French or not. We never know what might happen! But I'll do my best.'' During her Asian tour, she has given interviews for magazines, newspapers, radio and TV. She was also in Japan, where she enjoys considerable popularity, to promote her sixth film, Le Retour de Casanova, co-starring with Alain Delon. ''My popularity there surprises me, because I sing in French and it is hard for Japanese audiences,'' Lunghini said. Her first break in music came when she was 13. ''My movie director wanted me to record the theme song of a film I was doing. ''Being very young, I had no thoughts about the future, still less expect to become a pop singer. But after that, I wanted to continue and record more music.'' Her first single, ''T'en Vas Pas,'' released in October 1986, sold over 1.3 million copies in France, earning it a platinum rating. Her father, George Lunghini, is her producer and composer. ''Father is a musician and he writes my songs. He helped me a lot when I started, because I knew nothing about showbiz. He told me a lot about this job,'' she said. The singer will plan her next album when she gets back to France. She has no particular ideas as yet, but would like to try something ''innovative''. Lunghini says she loves singing and acting. ''They are completely different. I want to split my time equally between singing and acting.'' This is her sixth year in showbiz, and Lunghini is satisfied with her achievement so far. But she believes there is a lot more ahead to accomplish.