Here's the Tom Jones recording of "I'll Never Fall in Love Again," and yes, it is the same melody (at least at the beginning):https://www.youtube.com/watch?v=5vMx63ZCd88
I was thinking of the Dionne Warwick recording song with the same title. I think that one was a Bacharach/David composition:https://www.youtube.com/watch?v=FzQBOBoPg04