Oh lordy Hmm so many different view points here, with the majority thinking he is lying to you.........it's trial by MN with the majority finding him guilty! I don't know either but am confused about a few things. Was your DH in some part of Asia when he met these girls. I see that some posters know the score in this part of the world , and that women do "make a play" for a white UK male - maybe thinking they are loaded? Whether or not it is my belief that the male ego is very susceptible to flattery from another woman, especially is she is younger and more attractive.
It didn't fit for me that she "wanted" him but he was restrainded enough to keep it to merely friendship, but if this was Asia he might have been aware that girls do show interest in white males and so did keep it to friendship.
You say she lives on the other side of the world, so presumably their only contact is by text.....pretty unsatsifactory I suspect, but maybe your DH is still enjoying the flattery of this girl, sending him texts saying she is missing him etc. I am limited in IT skills so don't understand this Twitter thing and you being able to talk to her. Your DH "doesn't want you to" - did he give a reason. I am assuming he did not tell this girl he was married with children! This is pure conjecture but I wonder if this thing from her about "it's finished" is the reason for the glum face, but so insensitive to tell you he feels sorry for her. I think I might have lost it at that point.
I will tell you of my experience many years ago now. My DP went on a business trip to Bulgaria (he was a college lecturer and some of the staff of the London college were meeting with staff from Sophia University in Bulgaria.) I had an idea that he had "connected" with a woman from the Uni.
When he came back he was pre-occupied and very soon after we were going on holiday to France and on the ferry I said to him "I think you'd rather be going back to Bulgaria than France wouldn't you" and he said "I don't know" and I was utterly furious............we rowed on and off for the entire 2 weeks. The first thing he did when we got to the campsite was go to buy a post card (which he has never ever done before) and I knew it was for her, and he gave me this crap about Bulgarians "liking pictures of the sea" because they lived so far inland!!! FFS!
I continued to be suspicious and unsetted and jealous (as you say Hmm) not because he might have slept with her, but the emotional intimacy and that she appeared to matter more to him than I did. That's the way I took it anyway. A month or so later I found an airmail letter in his pocket from the Bulgarian woman, saying she was sorry but she couldn't see any future for them because of the distance and different cultures etc. SO he had been trying to think of ways they could be together!! I saw RED!!!! and we had an enormous row. The whole thing fizzled out but I never trusted him again and still don't to this day.........some 20 years later.
THAT I'm afraid is the issue - for many people once trust has gone it never comes back, or maybe it does for the fortunate ones. Writing this has brought it all to the surface again and my DP has just come in the room and said "I'm going down town" and I said "what for"............and he looked puzzled and said "to get my prescription and look in the Music shop" SO there I was amazingly suspicious of him, that I haven't felt for a very long time. I said he looked puzzled when I asked him what he was going to town for, and he laughed and said "I couldn't understand why you were asking" - I am staggered at the way that writing about it, brings it all back to the surface. Of course it's so long ago the emotions are manageable and I can see how strange it was to ask him why he was going to town.
We came through it but the search for evidence can become addictive and it causes so much upset and misery. I haven't any advice really but I am feeling huge empathy for you as it is a horrible position to be in. I've kept my account as brief as poss but there was a lot more to it which caused me so much misery.
Is there anyone in RL in whom you can confide - although I know it's not easy to talk to someone about this. My best friend in whom I confided in for many years was terminally ill with cancer when all this was going on, and so I had no-one else to talk to. I can't say anything that will make you feel any better and you are going to feel confused and upset.............think it's a good idea to stay away from the thread for a while. I do find that in these situations there are too many poster telling you to "pack his bags" etc but life is not that simple is it.
Oh just thought of the £2 per day for lunch and this does sound very odd to me - surely this has arisen for a reason. I wonder why this is the case and does he not have credit cards etc. Anyway no more questions as you have enough of those going round in your head. That bloody tape in your head keeps running doesn't it...............the more you try to switch it off the more it plays. Sorry that was my experience and may not be yours.
Take care of yourself as best you can.