Do you ever catch a few seconds of a song or a sliver of an arrangement that just sticks with you and plays over and over in your head until you find out what it is so you can listen to the rest? All I heard were a few measures of a violin and piano duet by Elgar. What a beautiful melody. With just that to Google, I found it. Please enjoy: Salut d'Amour.
Thanks to Wikipedia, I learned the story behind this song which is equally beautiful to the melody:
Elgar finished the piece in July 1888, when he was engaged to be married to Caroline Alice Roberts, and he called it "Liebesgruss" ('Love’s Greeting') because of Miss Roberts’ fluency in German. When he returned home to London on 22 September from a holiday at the house of his friend Dr. Charles Buck, in Settle, he presented it to her as an engagement present. Alice, for her part, offered him a poem called "The Wind at Dawn" which she had written years before and which he soon set to music. The dedication was in French: "à Carice". "Carice" was a combination of his wife's names Caroline Alice, and was the name to be given to their daughter born two years later.