To reuse old kevlar laces, I would consider cutting off the lace end loops and pulling the cord out of the old pair of Salomons, leaving the lace locks intact. I would then lace my other shoes from the top and tie the end pieces together where they meet up at the front/toe of the shoe. I'm not sure what knot would be best.
Just took mine off an old pair of Salomons and laced up, from the top, my pair of Golite Sun Dragon II's. The kevlar laces are shorter so I skipped the bottom row of loops and it seems to work fine ; ).