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Two members of the Nato-led Resolute Support Mission have been killed in southern Afghanistan.
The soldiers were attacked by individuals wearing Afghan uniforms, a statement from the mission said.
The incident comes as Nato commander General John Nicholson reviews plans to cut the number of US troops in Afghanistan by next year.
Almost 75,000 migrants and refugees have arrived in Greece by sea since the start of 2016, the UN says.
Reacting to news that Nato will deploy ships in the Aegean Sea to combat people-smugglers, a Ministry of Defence spokesperson said:
Nato's mission in the Aegean Sea will not be able "stopping or pushing back refugee boats", Nato's secretary-general has said.
Jens Stoltenberg said ships will contribute "critical information" to help the Turkish and Greek coastguard tackle human trafficking and criminal networks.
He also said Nato would step up surveillance of the Syrian-Turkish border.
The move to deploy ships follows a request from Germany, Turkey and Greece.
Thousands of refugees have already arrived in Greece by sea since the start of the year.
Nato has agreed to start patrols in the Aegean Sea to slow the flow of refugees travelling to Europe and to tackle people smuggling.
"It is important that we now act quickly," Ursula von der Leyen, German defence minister, told reports after a meeting in Brussels.
Nato could launch patrols in the Aegean Sea to deter people-smugglers taking migrants from Turkey to Greece, the US secretary of defence said.
Ash Carter said Nato allies were considering the move after a request from Germany, Turkey and Greece to help slow the refugee flows.
"There is now a criminal syndicate that is exploiting these poor people and this is an organised smuggling operation," Carter told a news conference during a meeting of Nato defence ministers in the Belgium capital Brussels.
"Targeting that is the way that the greatest effect can be had in the humanitarian dimension," he said.