In this post I outline the approaches usually taken to display dialogs from a MVVM Light view model.
MVVM Light does not have the concept of regions, neither does it force you to use one specific paradigm to solve a problem. This leaves you a lot of freedom, however, on the opposite this also means that you have to do more yourself.
If you need regions and plug-ins maybe using a larger framwork - like Prism, Caliburn, or Ocean (partially) - may be a better choice. If you are bound to MVVM Light and need this functionality you will have to create it yourself - hence the "light" part in the Name :-)
Edit
Your (Sergey's) comment got me thinking, so I went out and looked around and found something that migt fit your need.
Mike Hamilton implemented a conductor/screen logic based on MVVM Light. The samples do not use a ViewModelLocator
but I can see no reason why this couldn't changed (haven't tried it though - time permitting). However, the approach looks promising. Note: It may be applicable to WPF only - samples are WPF only and there is no navigation in it.
Bedides in source code the package is also available as a NuGet package.
Even if you want to roll your own implementation, the samples, source code and blog post give you a good starting point.
If you are targeting WP7 both Laurent Buginion and Jesse Liberty showed how to implement a NavigationService
- which also fits into this category.
As Silverlight and WP7 share quite a lot of commonality the NavigationService
approach can be transformed to work with Silverlight as well - actually I done this in a SL application I wrote.
Jay Kimble provides a template that implements yet another approach for Silverlight.
As to what is the "dominating" pattern I'd say for Siverlight/WP 7 it is the NavigationService
pattern, for WPF - ther really is no "dominating" pattern, however, some contenders (one shown).