Adams played a major role in convincing the IRA to disarm as part of the Northern Ireland peace process and masterminded Sinn Fein's rise to become the second-biggest political force north of the border and the third in the south.
The new leader also spoke about Sinn Fein's stance on the Eighth Amendment.
Mary Lou McDonald has been elected as the new president of Sinn Féin.
In January when she was announced as president-elect Mrs McDonald said that under her leadership the party would aim to convince unionists that a United Ireland was the best way forward for everyone.
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The delegation's most substantive event may come outside of the Olympic ambit on Saturday. The meeting could turn out to be just a lunch, a photo op or a nicety.
Adams, 69, announced his intention to quit the party in November a year ago and the appointment of McDonald is seen by many as a chance to modernise Sinn Fein.
She began her tenure with a first speech as leader on Saturday vowing to work towards Irish unity "in our time" while noting "there is no value in re-fighting the battles of the past".
Unlike Adams, 69, who grew up in the sectarian environment of Belfast, McDonald came from a wealthy background.
Sinn Fein's primary objective is Irish reunification, bringing Northern Ireland out of the United Kingdom and into the Republic of Ireland.
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We're told the model's security called police after she noticed the man had posted a photo of her apartment building. Then you're like, "OK, I guess it's my job, I have to do it!"' the starlet concluded her advice.
She was educated at Trinity College, Dublin, the University of Limerick and Dublin City University, studying English Literature, European Integration Studies and Human Resource management. "To win elections, to increase our political strength, to realise our ambition of being in government, North and South".
"We must only agree that the past is never again repeated", she said.
McDonald was previously a member of Fianna Fáil, another Irish republican party, although quit to join Sinn Fein in 1998.
She became the party's deputy in 2009 and in 2011 won a seat in the Irish parliament, representing Dublin Central. Raised in the affluent Rathgar area, she she has two brothers and a sister.
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Kim Yo-jong invited Moon to visit "at the early date possible", a spokesman for South Korea's Presidential Palace said . South Korea's Joongang Daily suggested that Moon has schemed to bring Pence face-to-face with North Korean leaders.
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