In reply to Full moon addict:
Hi,
I've been to Triglav area twice in early June, one year went up Triglav in shorts and Tshirt, no problem without the gear, the other we couldn't get far because we didn't have crampons/ice axe with us and would have needed it, so just did some low level day walks. It really depends on the weather at the time. if you want to be on the safe side I'd say take the stuff or be prepared to be flexible with your goals.
Have a great time, I'd go there again any time!
Karin