Hi heni86_2003,

You could try the following approach.
XAML:
    <Grid x:Name="LayoutRoot" Background="White">
        <Grid.RowDefinitions>
            <RowDefinition Height="400"/>
            <RowDefinition Height="*"/>
        </Grid.RowDefinitions>
       
        <ListBox x:Name="lstHoveredElement" Height="250" Width="400" Grid.Row="0"/>

        <igMap:XamMap x:Name="XamMap1" ElementHover="XamMap1_ElementHover" Grid.Row="1">
            <igMap:XamMap.Layers>
                <igMap:MapLayer x:Name="Europe" Brushes="Red Blue Green Yellow Orange" FillMode="RandomSelect">
                    <igMap:MapLayer.Reader>
                        <igMap:ShapeFileReader Uri="Shapefiles/europe/europe" DataMapping="Name=CNTRY_NAME; Caption=CNTRY_NAME; ToolTip=CURR_TYPE"/>
                    </igMap:MapLayer.Reader>
                </igMap:MapLayer>
            </igMap:XamMap.Layers>
        </igMap:XamMap>
    </Grid>

CB:
        private void XamMap1_ElementHover(object sender, Infragistics.Controls.Maps.MapElementHoverEventArgs e)
        {
            this.lstHoveredElement.Items.Add(String.Format("The hovered element is: {0}.", e.Element.Caption));
        }

Hope that helps,
Milana Zhileva