A “third-party wallet” refers to a digital wallet that is outside of Bitfinex. You will be able to move funds out of your Bitfinex wallet to a third-party wallet through making a withdrawal. Learn more about how to make withdrawals here: How do I withdraw cryptocurrencies?
Note: Once a withdrawal has been sent from Bitfinex and successfully processed onto the blockchain, we cannot take further responsibility.
For any further issues, please contact the receiving party of who you sent the funds to.
If you have any inquiries, please feel free to contact Customer Support.