I bought these shoes for use with my toe-strap equipped pedals. The shoes are lace up with a Velcro strap at the top,. I can tuck the ends of the laces under that strap.

BEWARE of multi-velcro straps on shoes if you're using the shoes with toe-straps. The toe-strap can snag between the velcro straps even when the toe-strap is loose and you can fall.
Cheers