Trump, a Republican, on Thursday said he would pull the United States from the landmark 2015 global agreement to fight climate change, drawing anger and condemnation from world leaders and heads of industry.
A long-scheduled meeting on Friday between Chinese Premier Li Keqiang and top European Union officials in Brussels was dominated by Trump's decision.
Aides could not say if Tillerson watched the president on television.
First, the 0.2 degree-figure used in the talking point reflects the incremental impact of the Paris Agreement compared with the earlier Copenhagen agreement.
"Yes or no: Does the president believe that climate change is real and a threat to the United States?" asked Mary Bruce of ABC News.
A spokesman for Wal-Mart Stores Inc, the largest USA retailer, said on Friday that Chief Executive Doug McMillon will remain on the business council.
This weekend, Tillerson visits Australia and New Zealand.
His reference to "innovation and technical progress" was a dig at Mr Trump's claims that he is pulling the U.S. out of the agreement because it will decimate the country's economy.
According to a draft, they will express their determination "to forge ahead with further policies and measures for effective implementation of their respective nationally determined contributions".
Tapping into the "America First" message he used on the election trail, Trump announced the withdrawal on Thursday, saying that participating in the pact would undermine the US economy, wipe out U.S.jobs, weaken national sovereignty and put his country at a permanent disadvantage to others.
The EU Council boss described Mr Trump's decision as a "big mistake" and had a dig at the President's record by calling it the "latest unfortunate" decision he had made.
Former New York City Mayor Michael Bloomberg is leading the effort to bring together companies, universities and local and state government to submit a plan to the United Nations pledging to meet the greenhouse gas emission reduction targets outlined in the Paris agreement. As reported by the Associated Press, a retired coal miner in Kentucky applauded the move: "He's keeping his promise that he's going to help get the coal jobs back, help people get back to work, and that's what we need, anywhere in this country", said Kenny Smith.
"The President has already said climate change is a hoax, which is the exact opposite of virtually all scientific and worldwide opinion", the statement reads.
"It is a global stain on our credibility that we will spend years, if not decades, working to remove", Kerry said.