Update: The press conference has begun, with Putin describing the talks as "business-like."

*PUTIN: TALKS WITH TRUMP WERE OPEN, BUSINESS LIKE

*LAVROV ON OUTCOME OF U.S. TALKS: BETTER THAN SUPER: IFX

*PUTIN SAYS TALKS ON U.S.-RUSSIAN TIES WERE PRODUCTIVE

*PUTIN: DIFFICULTY IN TIES W/ U.S. DON'T HAVE OBJECTIVE BASIS

*PUTIN: RUSSIA, U.S. FACING DIFFERENT PROBLEMS THAN IN COLD WAR

*PUTIN: RUSSIA, U.S. CAN ONLY FACE CHALLENGES ACTING TOGETHER

*PUTIN: TALKS TODAY ATTEMPTED TO SET TIES BACK ON HEALTHY PATH

*PUTIN: AS TOP NUCLEAR POWERS, WE HAVE SPECIAL ROLE IN SECURITY

*PUTIN: WE GAVE U.S. PROPOSALS ON NUCLEAR ANTI-PROLIFERATION

*PUTIN: RAISED ISSUE OF U.S. MISSILE DEFENSE SHIELDS WITH TRUMP

*PUTIN: OUR SPECIAL SERVICES WORKING VERY SUCCESSFULLY

*PUTIN SAYS RUSSIA, U.S. COOPERATED ON WORLD CUP SECURITY

*PUTIN: WE ALSO TALKED ON REGIONAL CRISES, DIDN'T ALWAYS AGREE

*PUTIN SAYS RUSSIA, U.S. CAN LEAD PEACE PROCESS IN SYRIA

*PUTIN: RUSSIA, U.S. LEARNED TO COOPERATE ON GROUND IN SYRIA

*PUTIN SAYS EXPRESSED CONCERN ON U.S. IRAN POLICY TO TRUMP

*PUTIN SAYS DISCUSSED UKRAINE CRISIS WITH TRUMP

*PUTIN SAYS HE ALSO DISCUSSED ECONOMIC COOPERATION WITH TRUMP

*PUTIN SAYS TRUMP RAISED MEDDLING

*PUTIN SAYS HE REITERATED RUSSIA DOESN'T MEDDLE IN U.S. POLITICS

*PUTIN SAYS HE PROPOSED NEW APPROACH TO LONG-TERM BILATERAL TIES

*PUTIN SAYS WE'RE HAPPY WITH FIRST FULL-SCALE TALKS WITH TRUMP

Trump spoke after Putin, saying the talks were "deeply productive" and congratulated Putin on hosting the World Cup, which he said was "one of the best ever."

*TRUMP SAYS `DEEPLY PRODUCTIVE' TALK WITH PUTIN WENT VERY WELL

*TRUMP SAYS DIPLOMACY BETTER THAN CONFLICT BETWEEN U.S., RUSSIA

*TRUMP: U.S.-RUSSIA TIES NEVER WORSE, BUT THAT'S CHANGED NOW

*TRUMP SAYS HE BROUGHT UP ELECTION MEDDLING IN PUTIN TALKS

*TRUMP SAYS PUTIN HAS `INTERESTING IDEA' ON ELECTION MEDDLING

*TRUMP PRESSED PUTIN ON IRAN'S ROLE IN MIDDLE EAST VIOLENCE

*TRUMP: PUTIN IS A COMPETITOR, AND THAT WORD IS A COMPLIMENT

*TRUMP: WE'LL BE COMPETING ON LNG AS A SUPPLIER TO EUROPE

The two leaders are now taking questions:

*PUTIN: RUSSIA, U.S. CAN WORK TOGETHER ON GLOBAL ENERGY MKTS

*TRUMP: BOTH SIDES TO BLAME ON RUSSIA-U.S. TIES DETERIORATING

*TRUMP, ALONGSIDE PUTIN, SAYS MUELLER PROBE A `DISASTER'

*TRUMP, ALONGSIDE PUTIN, SAYS WAS ZERO COLLUSION WITH RUSSIA

*PUTIN: TRUMP SOUGHT BETTER RUSSIA TIES; OF COURSE WE LIKED HIM

*PUTIN SAYS DOESN'T KNOW ANYTHING AGAINST ALLEGED 12 AGENTS

*PUTIN: RUSSIA, U.S. HAVE TREATY ON CRIMINAL INVESTIGATIONS

*PUTIN: MUELLER CAN SEND OFFICIAL REQUEST UNDER BILATERAL TREATY

*PUTIN: RUSSIA WOULD LET U.S. INVESTIGATORS GO TO INTERROGATIONS

*PUTIN: U.S. WOULD HAVE TO RECIPROCATE, CITES HERMITAGE CAPITAL

*PUTIN SAYS HE WANTED TRUMP TO WIN 2016 ELECTION

*TRUMP SAYS BOTH SIDES ARE BELIEVABLE ON U.S. INTEL, PUTIN SIDE

*PUTIN SAYS HE WORKED IN INTEL, KNOWS HOW DOSSIERS ARE COMPILED

*PUTIN: U.S. SHOULD RELY ON COURTS, NOT INTELLIGENCE FINDINGS

*PUTIN SAYS SOROS INTERFERING EVERYWHERE

*PUTIN: PLEASE SEND US AN OFFICIAL REQUEST ON THE 12 RUSSIANS

*PUTIN: TRUMP HAS SAID CRIMEA WAS ANNEXED ILLEGALLY

*PUTIN SAYS HE DIDN'T KNOW TRUMP WAS IN MOSCOW AS GUEST

*PUTIN SAYS HUNDREDS OF U.S. BUSINESS LEADERS VISIT EVERY YEAR

*PUTIN: RIDICULOUS TO THINK U.S. COLLECTS DIRT ON EVERYONE

*TRUMP: IF RUSSIANS HAD COMPROMISING INTEL ON ME, IT'D BE OUT

And as a reminder, while Trump didn't collude with Russia, another American president might have.

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