Responding to Mr. Trump's comments, Iran's President Hassan Rouhani said that Washington's call for new nuclear negotiations at the same time the US reimposes crippling sanctions "makes no sense".
More US sanctions targeting Iran's oil sector and central bank are to be reimposed in early November.
"We are determined to protect European economic operators engaged in legitimate business with Iran", European officials said in a statement on Monday.
The commission says such US sanctions are illegal and refuses to abide by them, noting that it intends to maintain trade and economic relations with Iran as part of the hard-won 2015 deal, signed by the so-called "P5+1" powers - namely the five permanent members of the UN Security Council (the US, UK, China, France and Russia), plus Germany.
US Secretary of State Mike Pompeo said sanctions are an important pillar in US policy toward Iran and will remain in place until the Iranian government radically changes course.
The measures are expected to hit Iran's economy hard, with the country already reeling from high unemployment and inflation.
"We are encouraging small and medium enterprises in particularly to increase business with and in Iran as part of something that is for us a security priority", Mogherini told journalists during a visit to New Zealand.
"By returning to the JCPOA", he said, using the technical name for the 2015 nuclear deal.
European Union officials, however, were quoted on Monday as saying that a number of other countries had asked them for details on the blocking regulations as they also explore ways to bypass sanctions.
President Trump said on Monday the United States was "fully committed to enforcing all of our sanctions" and would aim "to ensure complete compliance".
"Consistent with President Trump's decision, the administration will be reimposing specified sanctions after August 6, the final day of the 90-day wind-down period", the White House said.
In an early-morning tweet, Trump said the reimposition of sanctions means, "Anyone doing business with Iran will NOT be doing business with the United States".
The "Trump Administration wants the world to believe it's concerned about the Iranian people", Iranian foreign minister Mohammad Javad Zarif said in a statement posted to Twitter.
"We are always in favour of diplomacy and talks".
Israeli Prime Minister Benjamin Netanyahu, like Trump a long-time opponent of the accord, congratulated him on the new sanctions.
"There will be pressure because of sanctions, but we will overcome this with unity". Behnam Ben Taleblu of the Foundation for Defence of Democracies said they "signal that the administration is serious in its intent to recreate the leverage that existed between the USA and Iran prior to the nuclear deal".
Also a senior committee nominee, Brazile was drafted sixth overall out of Jackson State, two picks behind his teammate. The six-time Pro Bowler compiled 15,934 receiving yards and 153 receiving touchdowns on 1,078 career receptions.
Mourinho was expecting the 22-year-old to rejoin the squad in the U.S. when he gave him permission to leave last week. Mourinho is a players' man, but not everyone wants to play for him and his United side can hardly be called thrilling.
Army soldiers who fought in the November, 1950 Battle of Chosin Reservoir - 1,024 Americans are still missing from that battle. Byrd said the process to fully identify the remains, now more than 60 years old, could take anywhere from days to decades.
Meghan and Harry started talking about their next big milestone - children - in the months leading up to their wedding. Close friend of the family Charlie van Straubenzee tied the knot - and a number of familiar faces were there.
The 30-second promo, which we have embedded above, provides a few shots of the Galaxy Note 9 and its accompanying S Pen. In terms of specifications, Samsung Galaxy Note 9 is expected to feature a 6.3-inch QHD+ Super AMOLED display .
Basketball great LeBron James on Tuesday accused President Donald Trump of intensifying racial divisions in the United States. LeBron James stood on a stage near one of the streets he walked as a troubled kid and looked out at thousands of faces.
Some sanctions will take effect from August 6 while others, notably on the petroleum sector, will take effect on Nov 4. In May, Trump controversially pulled America out of the nuclear deal Obama agreed with Iran in 2015.
On its website, JU-Air mentions one past accident, in 1987, at the Koblenz airport in Germany in which no one was hurt. The aircraft was travelling between Ticino in the south of the country and Dübendorf military airfield near Zurich .
Along with some aftershocks, he said there was damage visible but there were no fatalities or major injuries around him. More than 100 aftershocks have rattled Lombok since the quake, which was also felt on the neighbouring island of Bali.
Do not apply under clothing, to wounds or irritated skin, the hands of children, or to infants less than two months old. One hundred thirty four human cases of WNV, including three fatalities, have been diagnosed in CT residents since 2000.
Multiple protests over currency drop continue in Iran
Trump! Iran is not North Korea to accept your offer for a meeting", Jafari was quoted as saying by the Fars News agency. The exercise could shut down of the Strait of Hormuz, a crucial Gulf passage for shipments of numerous commodities.
The early victims of Trump’s trade war ZlotoNews
The deficit had narrowed in previous months as companies rushed out exports to beat the imposition of tariffs. He noted stocks are down in China, which he said is weakening the country's bargaining power over tariffs.
Demi Lovato 'Agrees To Enter Rehab' From Hospital
The pop star is now in the hospital, recovering from a drug overdose she suffered last week, and subsequent complications . In a 2016 interview on CBS Sunday Morning , Lovato said her four years of sobriety was more important than her career.
US Unemployment Drops Slightly; Job Growth Slows
Faucher writes that as that happens, job growth will slow down because businesses will find it more hard to recruit new hires. One cloud on the horizon has been the Trump administration's trade fights with China, the European Union , Canada and Mexico.
Trump could raise tariffs further on Chinese goods
At a news briefing , Foreign Ministry spokesman Geng Shuang accused the usa of engaging in "blackmail", according to Reuters . A Chinese foreign ministry spokesman had earlier called on Washington to "come to its senses" and settle the dispute.
Chelsea receive good news as superstar extends contract
Hudson-Odoi's velcro close control, dribbling and all-around technical ability have impressed Chelsea supporters to no end. Courtois won the La Liga title, the Copa del Rey and the Super Cup during his stint at Atletico under Diego Simeone.
EPA unveils plan to lower Obama-era federal fuel standards
The firm projects the policy would cost the US economy $457 billion and cause 13,000 deaths by 2050, as air quality suffers. The logic is that because new-car prices will be lower, "more consumers will be able to afford newer and safer vehicles".