Set property of vba class with object reference

I have a class module, named Normal, in VBA with the following code:

Private mLine As LineElement

Public Property Get Line() As LineElement
    Line = mLine
End Property

Public Property Set Line(ByRef vLine As LineElement)
    mLine = vLine
End Property

This class is used by the following code:

Sub Run
    Dim Line As LineElement
    Set Line = New LineElement

    Dim Norm As Normal
    Set Norm = New Normal
    Set Norm.Line = Line 'FAILS here with "Object Variable or With Block Variable not set"'
End Sub

Also, if I change the code in the Normal class module to:

Private mLine As LineElement

Public Property Get Line() As LineElement
    Line = mLine
End Property

Public Sub SetLine(ByRef vLine As LineElement) 'changed from property to sub'
    mLine = vLine
End Property

and the failing line to

Norm.SetLine( Line )

I get an "Object does not support this property or method" error. What exactly am I doing wrong in both of these cases?