Even though our garden is huge our dog still seems to enjoy our neighbours gardens more than ours. Securing totally is not feasible as the size of the garden. Though it would be great for advice on how to train our dog to stay within our garden and not to keep disapearing?

The only real way is to either stay outside with your dog, or build a secure run. Once a dog learns to escape then you will have a lot of trouble retraining it not to go outside your boundary. I don't agree with tieing a dog up, not having seen one manage to almost choke itself as it went round and round until the rope was so tight it couldn't move.

The only sure way is secure fencing, so if you can't secure the whole garden then fence of part of it.

He can enjoy the rest when your able to give him strict supervision.

If this becomes a habit he will want to escape even when you have decent fencing and will keep trying to get out, so get onto this asap.

Hear, hear.  My 12/13 year old rescue collie x [who's owned us for over 10 years now] loves to show off how she can escape - I just can't believe the spaces she can get through/under/over/between..... - she does like to run back and show off what she's been so clever doing though.
I also have an Elkhound and have been quite neurotic about this breed wanting to escape, so have done as Barbara has suggested and fenced off part of the garden, nearest the back door to give the dogs freedom to go in/out, only allowing access to the rest when I am physically there with them.
Back to collie x - she still manages to get into larger garden at times [???] but Elkhound, who should be the escapologist, always comes and tells me LOL.
The moral of this is think of how high your dog can jump; how small [tall/wide] your dog/s can make themselves and how determined your dog ma be to get out -
and at a minimum double it.

I have found with the Elkhounds as long as they have no incentive (previous experience or something really interesting the other side) that they will respect 4 foot fences, though are quite capable of a 6 foot scale as in working trials.

I have a four foot barrier across the garden and between 5' 52 and 6' perimeter and none of mine (had 7 so far and returnees and visitors) have ever attempted to escape.

A friend had a known escapologist returned to her who they needed looking after and she tried to jump (was half over when mien ratted her out) the 6 foot gate within seconds, so I couldn't oblige.

My first dog was a BSD groenendael who first escaped through fear of fireworks and ended up getting over 7 foot gate.  When I made that secure (wire panel leaning in, she decided to do the fences into next door and thereby make her escape down the lane, it led to her death in the end, when I took my eye off her for a minute (I had resorted to tethering her outside, but didn't on this occasion).

Also depends on the breed. Apart from fencing to stop the dogs getting onto the road at the front of the house, we have no fencing at all at the backor sides of our large garden. We have fields behind and neighbours to both sides but my Aussie and crossbreed never cross the boundary even when barking at the postman driving down next door's driveway :) :)

Daisy