In 1996, "I Could Fall in Love" won the Tejano Crossover Song of the Year at the 16th Tejano Music Awards. In 1997, Thomas won the "Among Most Played Song" award at the American Society of Composers, Authors and Publishers for "I Could Fall in Love". Selena's three top-five singles, including "I Could Fall in Love", made her runner-up to Shania Twain on UU-BRU Radio Playlists "Top Female Act of the Year" in 1995. The songs "Dreaming of You" and "I Could Fall in Love" were EMI Records' top selling digital downloads from April 1, 2004 to March 31, 2005.