It's getting a little hard to see what he's hiding from -- his asylum claim had been based on fears that after being extradited to Sweden he would then be sent to the US; but (according to the article) he's only facing UK charges of breaching bail conditions, and he was in the UK, seemingly unafraid of being whisked off to America, before all this erupted.

To my (perhaps naive) eyes, it looked like that was the "final settlement" to defuse the situation -- the Swedish charges have been dropped but he has to face charges for the comparatively lesser offence he plainly and publicly committed (breaching UK bail conditions)?

I'm not sure there is much the UK can mediate on -- they plainly can't do or say anything about whether a third country (the US) has prepared charges they are waiting to file as it's not under their control, and in any case that wouldn't have any bearing on the UK bail-skipping charges (as a suddenly-filed extradition request if anything would be more likely to succeed if he wasn't facing charges in the UK)