I have used the DP832 to charge single Lithium Polymer cells in an emergency (provided their initial voltage is not too low).
Set output voltage to 4.2V, current limit to 1A, and alarm trip to less than 30mA. Battery charges constant 1A current until it reaches 4.2V, then at constant voltage until the charge current drops below 30mA when the alarm sounds.
Change the values given above to match the specs of your particular cell.
Good advice about the series diode.