On Dec. 24 the Binance made an official announcement on its blog post.
ETH BEP2 Tokens Will Be Issued On Binance Chain
ETH BEP2 tokens will be issued on Binance Chain, pegged to and backed 1:1 by ETH assets held in a publicly disclosed reserve address.
Support will be provided by Binance for the conversion between the native ETH and the Binance Chain equivalent through deposits and withdrawals. This will provide an option for Binance DEX users to trade ETH on the decentralized platform. A project asset page is available on the Binance DEX explorer.
Source: Cointelegraph | Binance