The seven are all being tried on charges of aggravated facilitation of illegal entry into Finland stemming from alleged human smuggling operations in the autumn of 2015. Two are also charged with aggravated fraud.
All of the accused have denied the charges.
According to prosecutors, the accused belonged to an international criminal group and illegally organised travel and entry for several Iraqis to Finland, via Turkey and Greece.
A verdict in the case is expected in six weeks.