Things You'll Need
Instructions
Access the PlayStation Store on your PS3. There is an option in the top right corner called "View Downloads." It's the third button from the left above their list of newest games. Hit X to view your list of downloads. Select the PSP Mini game you purchased and downloaded on your PSP and re-download it onto your PS3's hard drive.
Exit out of the store and wait for your download to finish. You can keep track of its' progress in the XMB (Cross Media Bar, the main menu of the PS3 and PSP). You can play a game on your PS3 to pass the time until the download finishes--this will not interrupt the downloading process. (See Reference 2) If you put a movie in or play an online game, however, the download will pause and resume when you are finished.
Access the downloaded PSP Mini game from your "Games" tab in your PS3's XMB. Select the game and hit X. The game will start, allowing you to play a PSP game on your PS3. Again, only PSP Mini games are currently able to be played on the PS3.