Turkey has been focusing on a well in the garden of Saudi Arabia's consulate in Istanbul as part of its investigation into the killing by Saudi officials of writer Jamal Khashoggi, whose body is still missing.
The Trump administration took its first concrete steps to penalize Saudi Arabia on Tuesday by revoking visas for agents implicated in the killing, a symbolic and ineffective move considering 18 of the 21 Saudi suspects were already under arrest.
On Tuesday, Trump said Saudi officials had engaged in the "worst coverup ever" and that those behind the killing "should be in big trouble".
Saudi Arabia has consistently denied that the crown prince was involved in the killing of Khashoggi.
In a speech to the European Parliament, Mr Tusk said he expected member states and institutions to avoid any "ambiguous game". "Neither the president nor I am happy with this situation".
The Saudi government has claimed he died during a brawl in the consulate, but that explanation has drawn widespread skepticism and it is suspected that Khashoggi was murdered.
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It also contradicts many observers who believe the complex scheme that led to Khashoggi's death could not have occurred without the knowledge of the crown prince, who controls all major levers of power in the kingdom with the blessing of his father, King Salman.
The public show of sympathy came after Turkish President Recep Erdogan said the savage "political murder" was plotted days in advance.
Khashoggi, a critic of the Saudi government, was last seen October 2 walking into the Saudi consulate in Istanbul.
Appearing on a discussion panel at the worldwide investment conference, Prince Mohammed said the case of the murdered journalist was "painful".
French President Emmanuel Macron spoke to Saudi King Salman on Wednesday, expressing his disapproval of the dissident's murder and demanding a credible investigation.
"The individuals who did this did this outside the scope of their authority", Foreign Minister Adel al-Jubeir told Fox News.
"We are a looking at. suspending export permits, which is something we've done in the past", he said on his way into a Liberal caucus meeting Wednesday. Later, unnamed Saudi officials told the Associated Press that they planned to kidnap Khashoggi and question him in a safe house. His body was then rolled in a rug and given to a local "co-operator" to dispose of.
The sources say President Erdogan has a copy of the Skype audio but is refusing to hand it over to the US.