The DUP and Sinn Fein held separate meetings with Mr Smith, before a roundtable with the other Stormont parties and the Irish Government.
Further bilateral meetings are expected to continue throughout the day.
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PICTURES: Talks resume at Stormont House today
By Gemma Murray
Published 2nd Jan 2020, 14:30 GMT
Secretary of State Julian Smith, Irish foreign affairs minister Simon Coveney and the local parties returned to Stormont House this morning.