"That's why we ask the government in Valletta to take in the Aquarius in order to offer first aid to the migrants on board," the statement continued.
Malta's government replied saying Prime Minister Joseph Muscat had spoken to Italian premier Giuseppe Conte, and underlined "that Malta is acting in full conformity with its international obligations".
"As such Malta will not take the said vessel in its ports," the statement continued.
Media reports earlier said Salvini had threatened to close access to Italian ports for migrant rescue ships if Malta fails to act.
In the meantime Conte said that Italy has sent two patrol ships with doctors on board "ready to intervene and ensure the health of anyone on board the Aquarius who might have the need".
Speaking to AFP, a Maltese government spokesman insisted that the rescue of the migrants took place in the Libyan search and rescue area and was headed up by the rescue coordination centre in Rome, meaning Malta has no legal obligation to take in the migrants.
Speaking to news channel Sky TG24, Aquarius crew member Alessandro Porro said that they were north of Malta and had "received no communications from the Maltese authorities".
"The people we saved yesterday were in a difficult condition, at least 50 were at risk of drowning. We need to have an idea of what port to go to, something that up to now we haven't had."
The migrants were rescued by Aquarius in six separate night-time operations in the central Mediterranean yesterday.
The French organisation said that among those saved and brought on board are 123 unaccompanied minors, 11 small children and seven pregnant women.
Italy's spat with Malta began after its reported refusal to come to the aid of another rescue ship Seefuchs, which was stranded with 126 migrants on board due to violent seas until it was allowed to dock in the Sicilian port of Pozzallo yesterday.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)