Russian President Vladimir Putin promised Tuesday to do everything possible to influence pro-Russian separatists in eastern Ukraine and help ensure a full probe into the Malaysia Airlines crash last week.

However he added that it would not be enough with Kiev's continuing military operation against the rebels, adding that the West must push Ukraine's authorities to declare a ceasefire.

Malaysia's deal with pro-Russian rebels on MH17 caps an official response to the disaster that is being hailed at home as a swift and clear counterpoint to the government's widely mocked reaction to the disappearance of MH370.

The leadership of Prime Minister Najib Razak has been put to the test again by yet another tragic and complex air disaster just four months after the still-unexplained disappearance of Malaysia Airlines flight 370 rocked his country.

Pro-Russian separatists in eastern Ukraine on Tuesday handed over two black boxes recovered from the crash site of the MH17 jet to Malaysian officials at a press conference.

Malaysian Prime Minister Najib Razak said early Tuesday that the remains of those onboard crashed Flight MH17 will be handed over to the Netherlands after striking a breakthrough deal with Ukrainian separatists.

The Malaysian premier said he had received assurances from the prime minister of the self-proclaimed Donetsk People's Republic, Alexander Borodai, that the remains of 282 people will be moved by train to the Ukrainian city of Kharkiv and handed over.

Australia has circulated a draft U.N. Security Council resolution demanding that pro-Russian separatists provide "full and unfettered access" to the crash site of the downed Malaysian jet in eastern Ukraine, diplomats said Sunday.

The document -- that could be put to a vote as early as Monday -- also calls on everyone in the region to fully cooperate in an international probe of the incident, according to a copy obtained by Agence France Presse.

Families of Malaysians aboard Flight MH17 urged authorities Sunday to bring back the remains of their loved ones amid concerns over access to the crash site in strife-torn eastern Ukraine.

The Malaysia Airlines jet is believed to have been shot down by a surface-to-air missile on its way from Amsterdam to Kuala Lumpur with 298 people aboard.

Malaysia Airlines said it would offer full refunds to customers who want to cancel their tickets in the wake of the MH17 disaster, just months after the carrier suffered another blow when flight MH370 disappeared.

Passengers can change or cancel their tickets without financial penalty until Thursday for travel throughout the rest of the year, the struggling national airline said.

Top U.S. diplomat John Kerry told his Russian counterpart Saturday that Washington was "deeply concerned" that international investigators were being denied access to a passenger jet's crash site in Ukraine.

President Barack Obama and other world leaders have expressed outrage and demanded Russia's full cooperation with what is becoming a monumentally challenging probe into the shooting down of a Kuala Lumpur-bound Malaysia Airlines flight from Amsterdam with 298 people from a dozen countries on board.

Malaysia issued an impassioned plea Saturday for the MH17 disaster site in Ukraine to be protected from tampering, saying evidence was being compromised in what it called a "betrayal of the lives that were lost."

Concerns are mounting over the integrity of the crash zone in rebel-held eastern Ukraine, with the government in Kiev on Saturday accusing Moscow of helping pro-Russian separatist insurgents destroy evidence.

Ukraine on Saturday accused Russia of helping separatist insurgents they say shot down Malaysian airliner MH17 try to destroy evidence at the crash site. 

"The Ukrainian government officially announces: terrorists with the support of Russia are trying to destroy proof of this international crime," Ukraine's government said in a statement.