The torroid's lines are still parallel no matter which way you go. (The doughnut)

And the Saddle shape just represents the pinch.

Our universe is flat in every direction.

You are trying to make the universe a sphere, because we use a balloon analogy when explaining expansion.

OK... lets take that balloon and make it as big as the universe. (forget about the inside and outside of the balloon... just the surface.)

If you are standing on it, it appears flat no matter how far you go in any direction, just like a runway at an airport. But in reality, it follows the curvature of the earth. Now, when you jump up a dimention into 3, it is still flat but curved. And I think this is where you are getting stuck. Jump the surface of that sphere to 3 dimentions and any 2 parallel lines will stay parallel (flat) in ANY direction.... but going far enough in any direction will bring you back to your starting point.

Close your eyes and point your finger in front of you, and you are essentially pointing at your back.