Both men are accused of passing money on to groups in Somalia with the intention of financing terrorist crimes.
Official charges against the men will be presented by March 13th.
There were insufficient grounds to seek a formal detention order for the third man arrested in Thursday’s coordinated police operation, although suspicions about his involvement in the case remain, according to a statement from the prosecutor’s office.
The 37-year-old’s lawyer, Mats Ljungquist, said he would appeal the decision to keep his client in custody.
“My client has absolutely no knowledge of the crimes of which he is accused,” he said.
Swedish Security Service Säpo suspect all three men of having links to the Al-Shabaab organization in Somalia.
Al-Shabaab, which translates roughly as ‘Youth’, is an extreme breakaway faction of the Islamic courts in Somalia.
The group claimed responsibility for a bombing in early February in the coastal town of Bosasso in Somalia Puntland region. According to officials, 20 Ethiopian migrants and guest workers died in the attack, which also injured around 100 people.