The specifications for the HTML5 date picker state that the date must be in the format yyyy-MM-dd
(ISO format). This means that you DisplayFormatAttribute
must be
[DisplayFormat(DataFormatString = "{0:yyyy-MM-dd}", ApplyFormatInEditMode = true)]
public string MyDate { get; set; }
Alternatively you can manually add the format using
@Html.TextBoxFor(m => m.MyDate, "{0:yyyy-MM-dd}", new { @type = "date" })
The later option allows you to keep the DataFormatString = "{0:dd/MM/yyyy}")
for usage in @Html.DisplayFor()