diff --git a/dvc/output/local.py b/dvc/output/local.py
index 259253bdb9..9dcebbdc12 100644
--- a/dvc/output/local.py
+++ b/dvc/output/local.py
@@ -35,14 +35,14 @@ def _parse_path(self, remote, path):
             # FIXME: if we have Windows path containing / or posix one with \
             # then we have #2059 bug and can't really handle that.
             p = self.TREE_CLS.PATH_CLS(path)
-            if not p.is_absolute():
+            if self.stage and not p.is_absolute():
                 p = self.stage.wdir / p
 
         abs_p = os.path.abspath(os.path.normpath(p))
         return self.TREE_CLS.PATH_CLS(abs_p)
 
     def __str__(self):
-        if not self.is_in_repo:
+        if not self.repo or not self.is_in_repo:
             return str(self.def_path)
 
         cur_dir = os.getcwd()
diff --git a/dvc/remote/local.py b/dvc/remote/local.py
index 38889d35fe..2c559ad7ae 100644
--- a/dvc/remote/local.py
+++ b/dvc/remote/local.py
@@ -56,7 +56,9 @@ def __init__(self, repo, config):
 
     @property
     def state(self):
-        return self.repo.state
+        from dvc.state import StateNoop
+
+        return self.repo.state if self.repo else StateNoop()
 
     @cached_property
     def work_tree(self):
diff --git a/dvc/repo/get_url.py b/dvc/repo/get_url.py
index 5718b20ecd..7aad361e8e 100644
--- a/dvc/repo/get_url.py
+++ b/dvc/repo/get_url.py
@@ -16,4 +16,6 @@ def get_url(url, out=None):
 
     (dep,) = dependency.loads_from(None, [url])
     (out,) = output.loads_from(None, [out], use_cache=False)
+    dep.save()
     dep.download(out)
+    out.save()
diff --git a/dvc/stage/imports.py b/dvc/stage/imports.py
index 96a626e35a..3ca25e2d7e 100644
--- a/dvc/stage/imports.py
+++ b/dvc/stage/imports.py
@@ -26,4 +26,5 @@ def sync_import(stage, dry=False, force=False):
     if not force and stage.already_cached():
         stage.outs[0].checkout()
     else:
+        stage.save_deps()
         stage.deps[0].download(stage.outs[0])
diff --git a/tests/func/test_get_url.py b/tests/func/test_get_url.py
index 16abbde12a..4d9969162e 100644
--- a/tests/func/test_get_url.py
+++ b/tests/func/test_get_url.py
@@ -1,5 +1,6 @@
 import pytest
 
+from dvc.dependency.base import DependencyDoesNotExistError
 from dvc.repo import Repo
 
 
@@ -20,3 +21,8 @@ def test_get_url_to_dir(tmp_dir, dname):
 
     assert (tmp_dir / dname).is_dir()
     assert (tmp_dir / dname / "foo").read_text() == "foo contents"
+
+
+def test_get_url_nonexistent(tmp_dir):
+    with pytest.raises(DependencyDoesNotExistError):
+        Repo.get_url("nonexistent")
diff --git a/tests/func/test_import_url.py b/tests/func/test_import_url.py
index 4157df3b55..52e7edd2f7 100644
--- a/tests/func/test_import_url.py
+++ b/tests/func/test_import_url.py
@@ -3,6 +3,7 @@
 
 import pytest
 
+from dvc.dependency.base import DependencyDoesNotExistError
 from dvc.main import main
 from dvc.stage import Stage
 from dvc.utils.fs import makedirs
@@ -97,3 +98,8 @@ def test_import_stage_accompanies_target(tmp_dir, dvc, erepo_dir):
 
     assert (tmp_dir / "dir" / "imported_file").exists()
     assert (tmp_dir / "dir" / "imported_file.dvc").exists()
+
+
+def test_import_url_nonexistent(dvc, erepo_dir):
+    with pytest.raises(DependencyDoesNotExistError):
+        dvc.imp_url(os.fspath(erepo_dir / "non-existent"))