You can bind JSF managed beans and Spring beans by adding the variable-resolved to your faces-config.xml file:
This is a one-way connection, however. It lets Spring beans be injected into JSF beans, but not the other way around. In practice, that's usually OK, since Spring beans are usually things like data services and other infrastructure-supporting objects whose scope is as wide or wider than the target JSF beans.
An IDE is no substitute for an Intelligent Developer.