Desireless appears once in the Israeli foreign-music chart archive (1987). One single reached #1. Best performer: Voyage voyage (peak #1, 9 weeks on chart). 1 of their songs also placed on a year-end chart.
| Peak | Song | Entered | Wks | Annual |
|---|---|---|---|---|
| 1 | Voyage voyage | 28 Jun 1987 | 9 | 1987 #5 |