diff --git a/jedi/api/completion.py b/jedi/api/completion.py
index 852823d8..9a479c6c 100644
--- a/jedi/api/completion.py
+++ b/jedi/api/completion.py
@@ -1,5 +1,4 @@
 from itertools import chain
-import re
 
 from jedi.parser import token
 from jedi.parser import tree
@@ -11,6 +10,7 @@ from jedi.api import inference
 from jedi.evaluate import imports
 from jedi.api import keywords
 from jedi.evaluate import compiled
+from jedi.evaluate.helpers import call_of_leaf
 from jedi.evaluate.finder import global_names_dict_generator, filter_definition_names
 
 
@@ -65,13 +65,7 @@ class Completion:
     def completions(self, path):
         completion_parts = helpers.get_completion_parts(path)
 
-        user_stmt = self._parser.user_stmt_with_whitespace()
-
-        completion_names = self._get_context_completions(user_stmt, completion_parts)
-
-        if not completion_parts.has_dot:
-            call_signatures = self._call_signatures_method()
-            completion_names += get_call_signature_param_names(call_signatures)
+        completion_names = self._get_context_completions(completion_parts)
 
         completions = filter_names(self._evaluator, completion_names,
                                    completion_parts.name)
@@ -80,7 +74,7 @@ class Completion:
                                                   x.name.startswith('_'),
                                                   x.name.lower()))
 
-    def _get_context_completions(self, user_stmt, completion_parts):
+    def _get_context_completions(self, completion_parts):
         """
         Analyzes the context that a completion is made in and decides what to
         return.
@@ -147,11 +141,17 @@ class Completion:
                 # No completions for ``with x as foo`` and ``import x as foo``.
                 # Also true for defining names as a class or function.
                 return []
-            elif symbol_names[-1] == 'trailer' and '(' != nodes[-1]:
-                completion_names += self._trailer_completions(completion_parts)
+            elif symbol_names[-1] == 'trailer' and nodes[-1] == '.':
+                dot = self._module.get_leaf_for_position(pos)
+                atom_expr = call_of_leaf(dot.get_previous_leaf())
+                completion_names += self._trailer_completions(atom_expr)
             else:
                 completion_names += self._global_completions()
 
+            if 'trailer' in symbol_names:
+                call_signatures = self._call_signatures_method()
+                completion_names += get_call_signature_param_names(call_signatures)
+
         return completion_names
 
     def _get_keyword_completion_names(self, keywords_):
@@ -177,11 +177,8 @@ class Completion:
             )
         return completion_names
 
-    def _trailer_completions(self, completion_parts):
-        scopes = list(inference.type_inference(
-            self._evaluator, self._parser,
-            self._pos, completion_parts.path
-        ))
+    def _trailer_completions(self, atom_expr):
+        scopes = self._evaluator.eval_element(atom_expr)
         completion_names = []
         debug.dbg('possible completion scopes: %s', scopes)
         for s in scopes:
diff --git a/jedi/api/inference.py b/jedi/api/inference.py
index 5f82daee..3c26cb30 100644
--- a/jedi/api/inference.py
+++ b/jedi/api/inference.py
@@ -2,26 +2,10 @@
 This module has helpers for doing type inference on strings. It is needed,
 because we still want to infer types where the syntax is invalid.
 """
-from jedi import debug
 from jedi.parser import Parser, ParseError
 from jedi.evaluate.cache import memoize_default
 
 
-def type_inference(evaluator, parser, position, dotted_path):
-    """
-    Base for completions/goto. Basically it returns the resolved scopes
-    under cursor.
-    """
-    debug.dbg('start: %s in %s', dotted_path, parser.user_scope())
-
-    # Just parse one statement, take it and evaluate it.
-    eval_stmt = get_under_cursor_stmt(evaluator, parser, dotted_path, position)
-    if eval_stmt is None:
-        return []
-
-    return evaluator.eval_element(eval_stmt)
-
-
 @memoize_default(evaluator_is_first_arg=True)
 def get_under_cursor_stmt(evaluator, parser, cursor_txt, start_pos):
     """
diff --git a/jedi/evaluate/helpers.py b/jedi/evaluate/helpers.py
index 2c79e606..321006aa 100644
--- a/jedi/evaluate/helpers.py
+++ b/jedi/evaluate/helpers.py
@@ -88,6 +88,8 @@ def call_of_leaf(leaf, cut_own_trailer=False):
     # different trailers: `( x )`, `[ x ]` and `.x`. In the first two examples
     # we should not match anything more than x.
     if trailer.type != 'trailer' or leaf not in (trailer.children[0], trailer.children[-1]):
+        if trailer.type == 'atom':
+            return trailer
         return leaf
 
     power = trailer.parent
diff --git a/test/completion/named_param.py b/test/completion/named_param.py
index 571bb076..2dd147e9 100644
--- a/test/completion/named_param.py
+++ b/test/completion/named_param.py
@@ -20,3 +20,12 @@ a(some_args)
 
 #? 13 []
 a(some_kwargs)
+
+def multiple(foo, bar):
+    pass
+
+#? 17 ['bar']
+multiple(foo, bar)
+
+#? ['bar']
+multiple(foo, bar