Safari stopped saving passwords

I deleted an an entry from my sav password list because I was changing to a new password. Now Safari is not asking to save the new password. I tried quiting then reopenning Safari and logging on and off the site several times, but I still can not save the password.

If I can't get Safari to save it, is there a safe 3rd party program or App I can have on my MACs to store and enter IDs and passwords?