They sat with arms folded during the hour-long hearing where Ali and Nursharif were remanded in custody.
Wall was granted bail subject to restrictions.
The three suspects were among seven people arrested by officers investigating a network suspected of funding terrorism at the Met's counter-terrorism command during a pre-planned, intelligence-led operation earlier this week.
The remaining four suspects - a woman aged 45 and three men aged 47, 45 and 42 - continue to be held under the terrorism act, Scotland Yard said.
Homeland Security Investigations in America and officers from the UK's counter terrorism network, the UK Border Agency and local forces were also involved in the operation.
Wall, a married father of four of Pitt Road, Thornton Heath, Surrey; Nursharif, a single man of no fixed abode and Ali, of Wakehurst Place, Cardiff, will next appear at Southwark Crown Court for a plea and case management hearing on July 6.