Hi,
Quick question for clarification...
When you take Neko outside on a long line, he won't run away, even if you let the line drag?
When you take Neko outside without a long line he runs away?
If that is the case, I would look into dog training schools in your area. There are group "outdoor" classes that specialize in offleash training.
Also, every time Neko comes to you it's good. Even if what Neko was just doing was bad. Let's say Neko (I like your dog's name-fyi) was just about to jump on the sofa where you don't want him. And you say, "Neko, Come!" (Sound very happy/perky, not mad) And Neko puts a paw on the sofa, turns around and comes right to you. Neko is a very good boy. Neko isn't bad for putting a paw on the sofa. This would be the same if he stole a slipper and is running around. If he comes to you he is good, even if he stole a slipper. Don't punish anything like that for now, he will learn Keep Away.
Start this inside. I like the kitchen for quick learning because our dog leans so well in the food room. When you have a peice of chicken walk away. If Neko comes to you get really really excited when he invades your space bubble and give him the chicken. If he does this regularly, give the name, either "come" or "here". You name it after he does it right regularly.
So, for right now every single time Neko comes to you he is an amazing super good boy who gets a cookie. Don't rip his toys out of his mouth, don't punish him for coming too slowly. He came, he is great! Also, start moving around from room to room, then move outside. How soon your dog gets to do this outside will depend on how fast he learns other things. You seem to know him really well already!
You also may want to play a game where when you grab his collar he gets a toy. This is helpful outside when you do need to grab him. He'll come to think Mom Grabbing Me = Good Things. And, he'll be less likely to run from you when you put out your hand to get him.
I think Emma may have some good advice for this as well.
Maui
