WRAPUP 5-Russia signs gas deal with EU, no Ukraine price deal

* Russia, EU sign gas monitoring agreement

* Czech PM sees crisis ending, seeks similar deal in Kiev

* Putin says Russia could cut off gas again

* Putin says Russia will help Ukraine get rid of "crooks"

* Russia, Ukraine fail to settle 2009 gas price

By Mark John and Yuri Kulikov

MOSCOW/KIEV, Jan 10 (Reuters) - Russia and the European Union signed an accord on Saturday aimed at restoring Russian gas supplies via Ukraine, whose cut-off has plunged large parts of Europe into a midwinter energy crisis.

Czech Prime Minister Mirek Topolanek, representing the EU presidency, then flew to Kiev hoping to persuade Ukraine to sign the deal, which would allow EU, Ukrainian and Russian observers to monitor the gas flows across Ukrainian territory.