You need to read your QRH, carefully (it is a Boeing product, and thus, a long way far from perfect).
Ours tells us to position the START LEVERS to CUTOFF, wait for the EGT to decrease, and then position them to IDLE DETENT.
If EGT reaches 930 degrees, the steps must be repeated.
If neither start is successful, and N2 is below 15%, there is a further procedure to follow. No advice is given as to what to do if N2 is above this value (perhaps it never could be... I shall check in the simulator when I am next there). This procedure uses APU bleed air to do a starter-driven start in the air.
It appears that if neither restart is successful, then the QRH assumes that another windmilling start attempt will not yield fruit.
The THRUST LEVER position is not of consequence.
[This message has been edited by Captain Tobias Wilcox (edited 02 November 2000).]