3
You wanted to save the days of the week selected by the user, storing the contents of the label as string.
What comes to the controller when I select all checkboxes
Domingo false
Segunda-Feira false
Terça-Feira false
Quarta-Feira
wanted to save as string the text of label of checkbox in my database, and discard the "falses".
Controller:
private MultiSelectList GetDias(string[] selectedValues)
{
    List<DiasSemana> Dias = new List<DiasSemana>()
    {
        new DiasSemana() { ID = 0, Dia= "Domingo" },
        new DiasSemana() { ID = 1, Dia= "Segunda-Feira" },
        new DiasSemana() { ID = 2, Dia= "Terça-Feira" },
        new DiasSemana() { ID = 3, Dia= "Quarta-Feira" },
        new DiasSemana() { ID = 4, Dia= "Quinta-Feira" },
        new DiasSemana() { ID = 5, Dia= "Sexta-Feira" },
        new DiasSemana() { ID = 6, Dia= "Sábado-Feira" },
    };
    return new MultiSelectList(Dias, "ID", "Dia", selectedValues);
}
Get:
public ActionResult CriarGrupo()
{     
    // acedendo a um conjunto de valores de uma classe
    ViewBag.Daylist = GetDias(null);
    return View();
}
Post:
[HttpPost]
[ValidateAntiForgeryToken]
public ActionResult CriarGrupo([Bind(Include = "GrupoID,AnoPastoral,HoraInicio,DiaSessao,AnoCatequese,LetraGrupo,Sala,Observacoes")] Grupo grupo, params string[] SelectDias)
{
    grupo.DiaSessao = SelectDias[0] + SelectDias[1] + SelectDias[2] + SelectDias[3] + SelectDias[4] + SelectDias[5] + SelectDias[6];
    if (ModelState.IsValid)
    {
        db.Grupo.Add(grupo);
        db.SaveChanges();
        return RedirectToAction("Index");
    }
    return View(grupo);
}
View:
<div class="form-group">
    @Html.LabelFor(model => model.DiaSessao, htmlAttributes: new { @class = "control-label col-md-2" })
    <div class="col-md-3">
        @foreach (var item in (MultiSelectList)ViewBag.Daylist)
        {
            //  @Html.CheckBox("SelectDias", new { @class = "checkbox-inline", @value = @item.Text })
            <input type="checkbox" name="SelectDias" value="@item.Text" class="checkbox-inline" />
            @Html.Label(item.Text, new { @class = "control-label" })
            <br />
        }
        </div>
    </div>