The value of Bitcoin soared by more than 10% over the weekend, hitting $11,247.63 on Sunday - its highest price since March 2018.
Last week, Facebook announced that it plans to launch a new digital currency called Libra in 2020.
The crypto-currency would enable people to make payments with the currency via its own apps, as well as on messaging service WhatsApp.
Firms such as Uber and Visa are also likely to accept it in future, it said.
But there have been concerns about how people's money and data will be protected, as well as over the potential volatility of the currency.
Facebook said Libra would be independently-managed and backed by real assets, and that paying with it would be as easy as texting.