-1
When entering edit mode, the Dits should be filled in and only the city dropdownlist comes. See cshtml below.
@model TreinamentoCrud.FuncViewModel.FuncionarioViewModel
@{
    ViewBag.Title = "EditVM";
}
<h2>EditVM</h2>
@using (Html.BeginForm())
{
    @Html.AntiForgeryToken()
    <div class="form-horizontal">
        <h4>FuncionarioViewModel</h4>
        <hr />
        @Html.ValidationSummary(true, "", new { @class = "text-danger" })
        @Html.HiddenFor(model => model.id)
        <div class="form-group">
            @Html.LabelFor(model => model.nome, htmlAttributes: new { @class = "control-label col-md-2" })
            <div class="col-md-10">
                @Html.EditorFor(model => model.nome, new { htmlAttributes = new { @class = "form-control" } })
                @Html.ValidationMessageFor(model => model.nome, "", new { @class = "text-danger" })
            </div>
        </div>
        <div class="form-group">
            @Html.LabelFor(model => model.dataNascimento, htmlAttributes: new { @class = "control-label col-md-2" })
            <div class="col-md-10">
                @Html.EditorFor(model => model.dataNascimento, new { htmlAttributes = new { @class = "form-control" } })
                @Html.ValidationMessageFor(model => model.dataNascimento, "", new { @class = "text-danger" })
            </div>
        </div>
        <div class="form-group">
            @Html.LabelFor(model => model.cpf, htmlAttributes: new { @class = "control-label col-md-2" })
            <div class="col-md-10">
                @Html.EditorFor(model => model.cpf, new { htmlAttributes = new { @class = "form-control" } })
                @Html.ValidationMessageFor(model => model.cpf, "", new { @class = "text-danger" })
            </div>
        </div>
        <div class="form-group">
            @Html.LabelFor(model => model.cidade, htmlAttributes: new { @class = "control-label col-md-2" })
            <div class="col-md-10">
                @Html.DropDownList("cidade", (SelectList)ViewBag.ViewCidade, "- Selecione a cidade -", new { @class = "form-control" })
            </div>
        </div>
        <div class="form-group">
            <div class="col-md-offset-2 col-md-10">
                <input type="submit" value="Save" class="btn btn-default" />
            </div>
        </div>
    </div>
}
<div>
    @Html.ActionLink("Voltar", "IndexVM")
</div>
@section Scripts {
    @Scripts.Render("~/bundles/jqueryval")
}
and this is the controller
public async Task<ActionResult> EditVM(int id)
        {
            GetCidadesAsync cidade = new GetCidadesAsync();
            var _cidade = await cidade.GetCidades();
            ViewBag.ViewCidade = new SelectList
            (
                _cidade,
                "id",
                "nome" ,
                id
            );
            return View();
        }
        // POST: FuncViewModel/Edit/5
        [HttpPost]
        public async Task<ActionResult> EditVM(int id, FuncionarioViewModel funcionario)
        {
            PutFuncionarioAsync putFuncionario = new PutFuncionarioAsync();
            try
            {
                await putFuncionario.PutFuncionarioVM(funcionario);
                return RedirectToAction("IndexVM");
            }
            catch
            {
                return View();
            }
        }