I have a wireless HP 4 button laser mouse NK528AA, model: MORFD7UL. Is there a wireless keyboard that will work with the same dongle?

The wireless dongle plugged into the computer is on a specific frequency and you wont be able to peer it with a different mouse. However if it is a Bluetooth and not wireless, you can pair another Bluetooth mouse no problem.

Each One Will Need Separate USB Dongle (receiver)

I'm not sure can I help you, I had same issue with logitech, I couldn't solve issue, until I found program (app) that had option to connect them, search on hp for application.
Logitechs one is called SetPoint.

Insert the USB dongle that came with your technika wireless mouse into a USB computer port on your machine.

This dongle, which resembles a regular flash drive in appearance, can be plugged into any available USB port.

Once inserted, it immediately turns on.

Insert the required amount of batteries (typically two AA batteries, though it changes depending on the model) into the compartment on the bottom of your HP wireless mouse.

Flip the "ON" switch on the bottom of your technika wireless mouse.

Press the "Sync" button on the bottom of your technika wireless mouse.

The mouse will now sync with your computer and will be immediately usable.

hope this helps

i have read some good and bad reviews on this mouse one stated the wireles stopped working several times and it had to be replaced

I have a Logitech wireless mouse and I loss my wireless device which connects mouse to PC. Is there any solution of it?

Look under a mouse, there might be some small "connect" or on/off button there. Push it, and look for same button on dongle...
Also check mouse batteries.

After you put new batteries in did you synce the device?
If not you must sync the device, usually its as simple as hitting a button on the reciever (the thing that goes into the computer) and then hitting the button on the bottom of the mouse. try that and see if it helps.

Steven.

Make sure you are not using the mouse over any kind of pattern. They like a single color under them. Tri it on a plane sheet of paper.

I have the same issue and I think this is one of worst product that HP makes.

There is a button on the bluetooth dongle that needs pressing to get the mouse & keyboard operating, I think I got them to work when the little long blue light on the dongle (there is one) it flashes for a brief time when pressed. I think if the mouse or keyboard button is pressed while its flashing it picks them up. Good luck, it was very tedious, I agree.