Are metamask wallets compatible with Coinbase?

Could you elaborate on whether Metamask wallets are fully compatible with Coinbase's platform? As a cryptocurrency user, I'm interested in understanding the interoperability between these two widely used tools. Specifically, I'd like to know if I can seamlessly transfer funds between them, as well as whether I can use Metamask to access my Coinbase wallet directly. Additionally, are there any security considerations I should be aware of when using both of these services together? Clarifying these points would greatly assist me in managing my digital assets effectively.