I started a 'AMA' in the doggo section about this, as I have a Romanian rescue dog (3 months, coming up to 4) and endevoured to be brutally honest about it.
I haven't been back mainly because of the baiting posts, although I'll prolly check it out soon.
It's nothing to be done on a whim, not that I am suggesting you are. To take on a Romanian rescue you really do have to be prepared for, and actually want, the challenge. There's always stories about how people have rehomed them and 'it's been a dream' but I assure you that is far from the norm. I think it makes a big difference whether you rehome from a UK rescue who is importing these but also helping the dogs with transition, versus importing yourself.
I imported direct from the rescue in Romania. Most of the dogs have never seen a house. Most are far more comfortable with the company of other dogs than humans, and they are extremely frightened and nervous.
In my limited experience, Romanian dogs don't exhibit the same 'normal' (or what we know as normal) behaviour that UK dogs do. They are far more instinctual and a different kettle of fish.
And an above poster mentioned about constant escaping. She is absolutely correct - if you are not foolproof there's no question if they'll break free and escape, it's a question of when. Most places advise the use of a slip lead at all times in addition to a harness. You use the harness to walk the dog, but the slip lead is there for WHEN they break free of the harness (and only then, don't use it otherwise), so you don't lose the dog or it gets hit by a car. A back up slip lead has saved us on about 8 occasions - and trust me, we've hardly been taking her for long strolls as she was too frightened to, we had to build up extremely slowly.
I see posts frequently from people at their wits end days, or even a couple weeks in, and it shocks me because it's clear they weren't realistic about what they were taking on. No matter what the rescue tells you - prepare for the worst. A dog arriving in a shut down, almost catatonic state like ours did.
I love my dog to pieces. It will stretch your patience. You will have at least one small moment of regret along the line, but probably more. Above all, please do not do it unless you are seriously determined and will not give up the dog if in 3 months (or 6, or even 9) it's still not acting like what we know as a 'normal dog' .
Oh, and romanian rescues do homecheck. If they don't - go elsewhere. I have not come across a genuine rescue yet who has not done home checking. They utilise rescue volunteers (or those with rescue and homechecking) in the rehoming country, who yes will check you have permissions to have the dog (or own your own home), your living situation, garden, and will quizz you on what you intend to do in example situations. They are also there to give you a wealth of advice and many of them are owners of rommies themselves.
They make wonderful dogs if you are realistic and informed. The reward is amazing. But you must know what you are getting into or you will likely be disappointed.