<vm:ViewModelLocator x:Key="Locator" d:IsDataSource="True"  />

<ObjectDataProvider ObjectInstance="{StaticResource Locator}" MethodName="GetViewModel" x:Key="MyProvider">
    <ObjectDataProvider.MethodParameters>
        <system:String>My parameter</system:String>
    </ObjectDataProvider.MethodParameters>
</ObjectDataProvider>

public MyViewModel GetViewModel(string id)
{
    // create an instance of MyViewModel here, passing id into the constructor
}