Analysts argue that because Europe is unable to make up for a leadership vacuum left by the US leaving the JCPOA, its strategy should focus more on Arab countries.
In an alert that appeared aimed squarely at Iran, the US Navy issued a warning on Tuesday to mariners in the Gulf to stay 100 meters (yards) away from US warships.
The Iranian military stressed that the incident was being investigated by "expert teams" and that "any speculation" about the incident should be avoided.
The waterway between Iran and Oman - 33 km (21 miles) wide at its narrowest point - is the conduit for some 30% of all crude and other oil liquids traded by sea.
The blacklisted tanker, which is loaded with Iranian crude oil, sent the last signal giving its position between Cyprus and Syria sailing north at 15:53 GMT on Monday, Refinitiv data showed.
Noble Rose simulated various scenarios where troops took over a hijacked vessel and extract troops from enemy territory.
Tangsiri also warned that, "The US and the UK should take the responsibility for the presence of the Zionist Regime in Persian Gulf waters."
Ships in the area have reported spoofed communications from "unknown entities falsely claiming to be US or coalition warships."
Iranian President Hassan Rouhani warned on Tuesday that shipping might not be safe in the Strait of Hormuz, adding that "war with Iran is the mother of all wars."
Iran has already seized a UK tanker in response and London has said it will attempt to protect its ships from more Iranian harassment.