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Hi! For those who want to remove the timeout of Bluetooth discovery of your Xperia Mini pro or other Xperia phones then try this ! :
1. Go to your Bluetooth Settings: For Gingerbread : App Drawer > Settings > Wireless and Networks > Bluetooth > Turn on the Bluetooth > Press the Menu key or the Option key > Visibility Timeout > Never time out
For ICS: App Drawer > Settings > Bluetooth > Turn on the Bluetooth > Press the Menu key or the Option key > Visibility Timeout > Never time out
That's all !!
Hope that I help you!

Pls. like my post if it helps you !
Hello.. I forgot that Gingerbread doesn't have that option on bluetooth. So sorry. If you are sending many files on your phone using Gingerbread, then make it visible for a while so that your phone will be paired with other Bluetooth device. Then just leave it until the files were completely sent to your phone.
Note: Just turn on the Visibility to make it visible to any other Bluetooth devices.
Thank you!