Traversi tried again to represent Switzerland in Eurovision in 1961 ("Finalmente") and 1963 (with three songs, including her first attempt in the German language), but did not make it in either year. She finally got her second chance in 1964, with "I miei pensieri" ("My Thoughts") being selected to go forward to the ninth Eurovision, held on 21 March in Copenhagen. However, this rather plain ballad did not find favour, being one of four songs to finish at the bottom of the scoreboard, having failed to score.