Its a lease, its their car let them deal with it, I would just ask where to pick up the rental and when they are coming to get their smashed car, as long as the other driver was insured you should not get dinged on the insurance side....
I learned the hard way that you always get GAP insurance when you buy a new car {I don't think it applies on a lease, but it may, I have never leased a car}, I bought a brand new diesel 1 ton, 6 weeks old and it gets smashed, total loss.... $47K truck, but that was new, its not new anymore so its only worth $40,200 {yah that drive it off the lot thing is true}, so thats all the insurance pays, BUT if I got gap insurance for $118 it would have paid the difference between value and replacement cost, which would have been great because I bought it when they were on rebate and 6 weeks later there were no rebates and it cost me $51K to replace it.... So that accident that wasnt my fault and I was fully insured cost me 10 grand.... thanks always pay the 50-100 for the gap insurance...