I have created a wrapper to call the MahApps.Metro message dialog, cause I was having the same problem with my MVVM project. I had to create a list of opened windows, which the first window will always be my MainWindow.
Here's my DialogService code:
public async Task<MessageDialogResult> ShowMessage(string message, MessageDialogStyle dialogStyle)
{
    var metroWindow = (_openedViews.First() as MetroWindow);
    metroWindow.MetroDialogOptions.ColorScheme = MetroDialogColorScheme.Accented;
    return await metroWindow.ShowMessageAsync("MY TITLE", message, dialogStyle, metroWindow.MetroDialogOptions);
}
This code can be used to show dialogs with or without a result. You can notice that its return is a Task<MessageDialogResult>, so if you want to get the result, you can do just like that on your ViewModel:
MessageDialogResult result = await _dialog.ShowMessage("SOME MESSAGE HERE", MessageDialogStyle.AffirmativeAndNegative).ConfigureAwait(false);
if (result == MessageDialogResult.Affirmative)
{
    //Do something
}
By the way, if the method that calls the ShowMessage() needs a result, you MUST put async on the assignment, otherwise it won't work. (if you only want to show a message dialog, it's not necessary).
My project is using Framework 4.0, and I can only use async/await due to the package I had to install from NuGet. 
You can acces this link for the MSDN documentation of this package, and you can download the package here.
I hope it has solved your problem.
EDIT:
I have implemented a method on my DialogService to open any windows from any ViewModel. This method uses Microsoft Unity framework to instantiate my object, and then I call Show() to open itself. Before a call Show(), I add this window on a list.
See my code:
public void ShowView<T>(params ParameterOverride[] parameter)
{
    var window = UnityServiceConfigurator.Instance.Container.Resolve<T>(parameter) as MetroWindow;
    if (window != null)
    {
        if (Application.Current.MainWindow != window)
        {
            window.Owner = Application.Current.MainWindow;
            var ownerMetroWindow = (window.Owner as MetroWindow);
            if (!ownerMetroWindow.IsOverlayVisible())
                ownerMetroWindow.ShowOverlayAsync();
        }
        if (!_openedViews.Contains(window))
            _openedViews.Add(window);
        window.Show();
    }
}
This is how I call from my ViewModel:
_dialog.ShowView<MyView>();
If you have only one window on your entire software, you can save its reference and use it to show the ShowMessageAsync() without needing to create a List only to use the First. Like this:
var metroWindow = (Application.Current.MainWindow as MetroWindow);