RPT-INSIGHT-European leaders' risky Kyiv mission took even close family by surprise

(Repeats Wednesday's story with no changes to text)

* Polish, Czech and Slovenian leaders went to Kyiv

* Trip was hastily planned, kept a secret

* Some unease among European allies about mission

* Criticism of those who went, and one leader who didn't

By Robert Muller, Jan Lopatka and James Mackenzie

PRAGUE/KYIV, March 16 (Reuters) - When headlines flashed on Tuesday morning that the leaders of Poland, the Czech Republic and Slovenia were on a train to Kyiv for talks with the Ukrainian president, it was news to some members of their immediate families.

The trip to a city under siege, where Ukraine's military is fighting invading Russian forces just a few kilometres from the periphery, was hastily arranged and known only to a few people.

Public pronouncements by the leaders and by a participant and a diplomatic source who spoke privately point to an arduous and risky diplomatic mission that underlined the sense of urgency among European countries to end the war.

While other European leaders were informed of the proposed journey during a summit in Versailles last Friday, only a small number of countries were directly involved.

The three that eventually took part are deeply suspicious of how Moscow views nations once under its influence before the collapse of the Soviet Union in 1991, concerns that have been heightened by its invasion of Ukraine that began on Feb. 24.

More than 3 million people have also fled Ukraine in the last three weeks, nearly 2 million of them into neighbouring Poland.

Asked about the danger involved, Czech Prime Minister Petr Fiala told reporters on Wednesday after his return from Ukraine that he believed it was worth the risk.

"There are situations where you have to decide for yourself, and I made the decision I made," the 57-year-old said.

"I was not alone, I had colleagues - the prime ministers, I had colleagues from my team and from the security service who were willing to complete the trip with me."

He told his wife about his plans, but asked her not to tell his mother or three children.

"They found out about it when it was published."

With him in Kyiv were Polish Prime Minister Mateusz Morawiecki, Slovenian counterpart Janez Jansa and Jaroslaw Kaczynski, powerful leader of Poland's ruling party.

They travelled on a special train from Poland's eastern border into Ukraine on Tuesday morning. By the time the trip became public, they were on their way to the capital.

A social media post on Wednesday showed Fiala in a flak jacket and helmet, looking at a mobile phone and standing between two beds in a narrow, rudimentary sleeping compartment.