try:

Task.init('examples', 'training', continue_last_task='<previous_task_id_here>')
Just tried this and it works. Thanks! Really appreciate the great response!

And yes, I'm logging different metrics

'by the same name' you mean names of the metrics and not the experiment name, right?

SourSwallow36 it is possible.
Assuming you are not logging metrics by the same name, it should work.
try:
Task.init('examples', 'training', continue_last_task='<previous_task_id_here>')