Actually..... and this is stupid... don't do this.... I had to experiment...
I have put Li-Ion cells (3.7V type) on my Vanson Speedy box before to see what would happen. It has a charge rate of about 750mA and seems to operate at the higher voltages of the li-ion without problems, it will not charge a cell above ~4.0V, but it has turned out to be a good way to bring a larger number of cells up to "close to full" before topping them on a real li-ion charger.
DON'T DO THIS UNLESS YOU ARE AS NUTS AS I AM