The CNN package was addressed to former CIA Director John Brennan, who has publicly clashed with Mr Trump and is a regular television contributor.
Trump's speech came on the heels of a day full of pleas for civility in America's political discourse as Democrats and progressives across the country found themselves confronting a barrage of crude package bombs aimed squarely at the president's critics and rivals.
Mindful of the news, Trump refrained from delivering some of the most pointed riffs of his regular routine, including steering clear of two of his favorite targets: Clinton and California Rep. Maxine Waters, whose office appears to have been a target of two of the mail explosives.
All the parcels listed Rep. The five packages discovered Wednesday all had a similar address: That of Democratic Congresswoman Debbie Wasserman Schultz, but with her name misspelled.
A suspicious package targeting billionaire investor and philanthropist George Soros was rendered safe in Bedford, New York, a law enforcement source told CNN.
Later at a rally in Wisconsin, he urged unity.
CNN correspondent Kate Bolduan reports from in front of the Time Warner Building where NYPD personnel removed an explosive device Wednesday Oct. 24
At the news conference, Cuomo disclosed that a device was sent to his Manhattan office and that it was being handled.
The packages were sent in manila envelopes with bubble wrap, marked with computer-printed address labels.
Similar packages addressed to Clinton and Obama were intercepted on their way to Clinton's NY home where she lives with former President Bill Clinton and to Washington, where Obama lives with his wife, Michelle.
Daniel Aaronson, an attorney who has represented Sayoc over the years, said none of his clients were "as polite and as courteous and as respectful to me" as Sayoc was.
Two packages were sent to Ms Waters.
The attacks overtook other news in an already-tense political season that could reshape Congress and serve as a referendum on the first two years of Mr Trump's presidency. The Secret Service said it had intercepted two bombs - one addressed to Clinton at the NY home she shares with former president Bill Clinton and another addressed to Obama in Washington that were found at mail screening facilities. "Clean up your act.try to act Presidential".More news: Brendan Rodgers staying upbeat despite another Europa League defeat
"The protectees did not receive the packages nor were they at risk of receiving them", it said.
A police bomb squad and canine units joined federal investigators on Thursday examining a United States mail distribution center at Opa-Locka, northwest of Miami, Miami-Dade County police said.
When Trump was campaigning for president in 2016, the New York-born actor slammed the Republican candidate as "blatantly stupid", "totally nuts" and an "idiot".
The address is linked to the Tribeca Film Center and Tribeca Grill, according to Google Maps, but the packaged was located in an office on one of the higher floors of the building, said cops.
White powder also sent to CNN presented no biological threat, Sweeney said.
The package had been received in the general mailroom on Wednesday, according to a law enforcement official.More news: $1M winning Powerball ticket sold at Surprise Circle K
Authorities also located two suspicious packages addressed to former Vice President Joe Biden at post offices in DE, a law enforcement official said.The packages weresimilar to others discovered this week and contained potential explosive devices.
"He should not be beating the tom-toms of anger and animosity and war", said the former Central Intelligence Agency chief, whose security clearance was revoked by Trump after he criticized the president's summit earlier this year with Russian President Vladimir Putin.
We continue our call for a massive turnout of voters on November 6 to remove from office all the Republican enablers of Trump and everything he stands for.
The bombs overtook other campaign news in an already-tense political season, which has included pitched fights over immigration, the Supreme Court and sexual violence against women.
Meanwhile, the channel Trump calls "Fake News CNN" is known for its often critical coverage of the Trump administration and has constantly provoked the president's fury.More news: Investigation Continues Into Who Mailed Bombs To Democratic Leaders, CNN