How do I reprint an incoming fax - HP OfficeJet J4580 All-In-One Laser Printer

You can't do a reprint of the last fax it's not possible on any fax machine I'm aware of you'll need to contact whoever sent you the fax to resend

reset unit

you cant reprint.if your fax paper jamed or your machine had an error you can reprint.when you get a fax automaticallay your memory will be clean

Yes, You can.

Press Settings (The Wrench Button)
Navigate to "Print Report" - Press OK
Navigate to "Reprint Faxes" - Press OK

"Reprint All Faxes" - Press OK

Or Navigate to "Reprint One" - Press OK

Navigate to Date/Time Received of fax to reprint - Press OK

If the printer doesn't have memory function itself... they're not going to reprint.

However, for your HP6310, they do have a function for 100 pages of fax memory.

Fo go fax manu (on your left side, by facing printer), press the fax set up and will see the reprint for fax.

If you would like to save money, try refill kit by "ROADINK".
Not only they are easy, but also the printing quality is good.
For your better understanding pls check out my youtube video.
And will see how easy ink refill can be done.

use the fax's menu to navigate all the way to print journal, then select all it will print all the incoming fax, base on what is stored in memory.

note: not all fax machine have this function

If there is an error like a jam or something the machine will reprint the fax. Otherwise the fax is not available to print again after it's already printed successfully.

There is no way to reprint a fax once it's received. The report is all you can get.

Sorry, but no,

i'm afraid you are out of luck. Once an attempt is made printing and no error message about the ink cartridge condition is apparent. Then that's it, it is deemed successful.