The probability of a ground impact in a populated area was "low", the EUSST said on its website, but it noted the uncontrolled nature of the object made predictions uncertain.
The U.S. Space Command's Space Track Project said in a tweet: "Everyone else following the LongMarch5B re-entry can relax".
"After monitoring and analysis, at 10:24 (0224 GMT) on May 9, 2021, the last-stage wreckage of the Long March 5B Yao-2 launch vehicle has reentered the atmosphere", it said in a statement.More news: China ‘indefinitely suspends’ major economic dialogue with Australia
During the rocket's flight, Harvard-based astrophysicist Jonathan McDowell said that the potential debris zone could have been as far north as New York, Madrid or Beijing, and as far south as southern Chile and Wellington, New Zealand. No one was hurt, but China plans to lunch many more of the rockets as it assembles its new Tianhe space station, and each mission carries risk until authorities there enhance their safety measures.
Debris from a Chinese rocketfell back to Earth on Sunday, disintegrating over the Arabian Sea, according to Chinese state media.
It is uncommon for rockets to reach the velocity necessary to reach orbit, but it is now travelling around the world once every 90 minutes, or seven kilometres every second.
"The empty rocket body is now in an elliptical orbit around Earth, where it is being dragged toward an uncontrolled re-entry".More news: India to take back illegal United Kingdom migrants in return for professional visas
The empty core stage has been losing altitude since last week, but the speed of its orbital decay remains uncertain due to unpredictable atmospheric variables.
It is one of the largest pieces of space debris to return to Earth, with experts estimating its dry mass to be around 18 to 22 tonnes.
Last year, debris from another Long March rocket fell on villages in the Ivory Coast, causing structural damage but no injuries or deaths. You may unsubscribe any time by clicking on the unsubscribe link at the bottom of our emails.
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The rocket, said CNN global correspondent Will Ripley, weighs 22 tons and is the size of ten-story building, "about a fifth the size of the Statue of Liberty, hurtling around the Earth as we speak".