diff --git a/src/FESpaces/FESpaceFactories.jl b/src/FESpaces/FESpaceFactories.jl
index 28c810aa9..ae6a1b276 100644
--- a/src/FESpaces/FESpaceFactories.jl
+++ b/src/FESpaces/FESpaceFactories.jl
@@ -4,13 +4,15 @@
 function FESpace(;kwargs...)
 
   constraint = _get_kwarg(:constraint,kwargs,nothing)
-  # constraint = nothing
   reffe = _get_kwarg(:reffe,kwargs)
-  @notimplementedif !isa(reffe,Symbol) "For the moment, reffe can only be a symbol"
 
   fespace = nothing
 
-  if reffe in [:Lagrangian,:QLagrangian,:PLagrangian,:SLagrangian]
+  if isa(reffe,ReferenceFE)
+
+    fespace = _setup_generic_space(kwargs)
+
+  elseif reffe in [:Lagrangian,:QLagrangian,:PLagrangian,:SLagrangian]
 
     fespace = _setup_lagrange_spaces(kwargs)
 
@@ -96,6 +98,40 @@ function TestFESpace(;kwargs...)
   FESpace(;kwargs...)
 end
 
+function _setup_generic_space(kwargs)
+
+  reffe = _get_kwarg(:reffe,kwargs)
+  model = _get_kwarg(:model,kwargs)
+  labels = _get_kwarg(:labels,kwargs,get_face_labeling(model))
+  conformity = _get_kwarg(:conformity,kwargs,true)
+  diritags = _get_kwarg(:dirichlet_tags,kwargs,Int[])
+  order = _get_kwarg(:order,kwargs,nothing)
+  dofspace = _get_kwarg(:dof_space,kwargs,:reference)
+  ( dofspace == :reference ? true : false )
+
+  is_ref = (dofspace==:reference)
+
+  Tf = _get_kwarg(:valuetype,kwargs,VectorValue{1,Float64})
+  T = eltype(Tf)
+
+
+  polytopes = get_polytopes(model)
+  if length(polytopes) > 2 || polytopes[1] != get_polytope(reffe)
+    @unreachable "RefFE and geometrical model are not compatible in generic FESpace constructor"
+  end
+
+  reffes = [ reffe ]
+
+  if conformity in [true, :default]
+      V =  ConformingFESpace(reffes,model,labels,diritags,nothing,is_ref)
+  else
+    s = "Conformity is determined by $reffe reference FE and cannot be imposed in generic FESpace constructor, leave it `true` or simply do not specify it"
+    @unreachable s
+  end
+
+  V
+end
+
 function _setup_hdiv_space(kwargs)
 
   reffe = _get_kwarg(:reffe,kwargs)
@@ -213,7 +249,7 @@ function _setup_lagrange_spaces(kwargs)
       elseif reffe == :QLagrangian
         _reffes = [QDiscRefFE(T,p,order) for p in polytopes]
       else
-        @unreachable "Not possible to use a $reffe reffe on polytopoes $(polytopes...)"
+        @unreachable "Not possible to use a $reffe reffe on polytopes $(polytopes...)"
       end
     end
 
diff --git a/test/FESpacesTests/CurlConformingFESpacesTests.jl b/test/FESpacesTests/CurlConformingFESpacesTests.jl
index 9a976f248..2b81540de 100644
--- a/test/FESpacesTests/CurlConformingFESpacesTests.jl
+++ b/test/FESpacesTests/CurlConformingFESpacesTests.jl
@@ -4,6 +4,7 @@ using Test
 using Gridap
 using LinearAlgebra
 using Gridap.FESpaces
+using Gridap.ReferenceFEs
 
 domain =(0,1,0,1,0,1)
 partition = (3,3,3)
@@ -28,8 +29,6 @@ test_single_field_fe_space(V)
 U = TrialFESpace(V,u)
 
 uh = interpolate(U,u)
-length(uh.free_values)
-uh.free_values
 
 e = u - uh
 
@@ -39,6 +38,18 @@ quad = CellQuadrature(trian,order)
 el2 = sqrt(sum(integrate(inner(e,e),trian,quad)))
 @test el2 < 1.0e-10
 
+T = Float64
+reffe = NedelecRefFE(T,HEX,order)
+V = FESpace(model=model,reffe=reffe,dirichlet_tags = [21,22])
+test_single_field_fe_space(V)
+
+U = TrialFESpace(V,u)
+
+uh = interpolate(U,u)
+
+el2 = sqrt(sum(integrate(inner(e,e),trian,quad)))
+@test el2 < 1.0e-10
+
 # using Gridap.Visualization
 
 # writevtk(trian,"trian",nsubcells=10,cellfields=["uh"=>uh])
diff --git a/test/FESpacesTests/DivConformingFESpacesTests.jl b/test/FESpacesTests/DivConformingFESpacesTests.jl
index 4c8e5e437..1c4134f15 100644
--- a/test/FESpacesTests/DivConformingFESpacesTests.jl
+++ b/test/FESpacesTests/DivConformingFESpacesTests.jl
@@ -35,6 +35,18 @@ quad = CellQuadrature(trian,order)
 el2 = sqrt(sum(integrate(inner(e,e),trian,quad)))
 @test el2 < 1.0e-10
 
+T = Float64
+reffe = RaviartThomasRefFE(T,QUAD,order)
+V = FESpace(model=model,reffe=reffe,dirichlet_tags = [1,6])
+test_single_field_fe_space(V)
+
+U = TrialFESpace(V,u)
+
+uh = interpolate(U,u)
+
+el2 = sqrt(sum(integrate(inner(e,e),trian,quad)))
+@test el2 < 1.0e-10
+
 #using Gridap.Visualization
 #
 #writevtk(trian,"trian",nsubcells=10,cellfields=["uh"=>uh])
diff --git a/test/FESpacesTests/FESpaceFactoriesTests.jl b/test/FESpacesTests/FESpaceFactoriesTests.jl
index 4167e406f..967b52074 100644
--- a/test/FESpacesTests/FESpaceFactoriesTests.jl
+++ b/test/FESpacesTests/FESpaceFactoriesTests.jl
@@ -13,6 +13,11 @@ partition = (3,3)
 model = CartesianDiscreteModel(domain,partition)
 order = 3
 
+T = VectorValue{2,Float64}
+reffe = QDiscRefFE(T,QUAD,2)
+V = FESpace(model=model,reffe=reffe)
+@test isa(V,UnconstrainedFESpace)
+
 V = FESpace(
  model=model,
  valuetype=Float64,