Sharding and Casper promise to greatly improve scalability, sustainability, and security of the Ethereum blockchain. Alongside a novel and much-discussed consensus protocol, they also entail fundamental changes to the requirements and constraints imposed on the peer-to-peer (p2p) networking layer. As the existing Ethereum networking protocols do not satisfy these, exploring alternatives is imperative. In our talk, we report on ongoing research on p2p networking in Ethereum 2.0 as well as its current implementation progress. We begin by defining key qualitative and quantitative properties the network should have. Then, we discuss several options for both node discovery and gossip protocols, comparing their performance on the basis of simulation results. Finally, we conclude by giving an update on the current state and future developments of protocol implementations.