Greater Manchester Police said earlier two men were arrested overnight in Manchester and in the Withington area in the south of the city.
Sensitive information about the case, including the release of the bomber's name before Manchester police officially announced it and detailed crime scene photos, has appeared in USA media.
The UK's National Police Chiefs' Council described the "unauthorised disclosure" as a breach of trust which had potentially undermined a "major counter-terrorism investigation".
May will raise concerns over the leaks when she meets U.S. President Trump at a North Atlantic Treaty Organisation meeting on Thursday, the BBC reported.
A suicide bombing attack on Manchester Arena on Monday evening has led to 22 deaths and 64 injuries.
Among those taken into custody in Libya were the suspected bomber's father and his younger brother, the latter of whom confessed to knowing "all the details" of the attack plot, Libyan anti-terror authorities said.
Queen Elizabeth II, meanwhile, visited Royal Manchester Children's Hospital to talk to some of the bombing victims, their families and the medical staff treating them.
"Hashem helped Salman prepare for the attack", Dagdoug said.
A day earlier, British Home Secretary Amber Rudd berated the US Department of Homeland Security and other intelligence branches after US media leaked the bomber's identity and details about the ongoing investigation before United Kingdom officials had publicly released any information.
Six additional arrests were made in Britain on Wednesday as the sprawling investigation extended to Libya, where Abedi's father and 18-year-old brother were detained in Tripoli. And as previously iterated by her pop collaborator and hip-hop femcee Nicki Minaj, she's declared that hate will not win.
Four suspected extremists have also been arrested in Berlin over the past 24 hours, Brunt added.
There were plenty of warning signs before Salman Abedi unleashed carnage at Manchester Arena.
However, the pictures of debris - which appear to show bloodstained fragments from the bomb and the backpack used to hide it - were subsequently leaked to the New York Times, prompting a furious response from within Whitehall and from United Kingdom police chiefs.
In Berlin, former U.S. President Barack Obama and German Chancellor Angela Merkel sent a message of solidarity to the Manchester bombing victims.
"I think it's pretty disgusting", said Scott Lightfoot, a Manchester resident, speaking outside a train station in the city.
The militia also said that the younger brother travelled from Britain to Libya on April 16, and that he had been in daily contact by phone with Salman since then.
Numerous victims were children and teenagers - with the youngest of the dead revealed to be just eight-years-old.
Stephen says the one memory that has remained with him is the image of one of the victims, a 16 year old girl, who was killed that night.