The European Medicines Agency (EMA) confirmed one person in Austria was admitted to hospital with pulmonary embolism, where there is a blockage in the arteries of the lungs.
They died 10 days after being vaccinated.
Another death involving a blood clot was reported in Denmark.
A 50-year-old man is also thought to have died in Italy from deep vein thrombosis.
A statement from AstraZeneca said: “A careful review of all available safety data of more than 17 million people vaccinated in the European Union and UK with COVID-19 Vaccine AstraZeneca has shown no evidence of an increased risk of pulmonary embolism, deep vein thrombosis or thrombocytopenia, in any defined age group, gender, batch or in any particular country.”
So when should you be concerned after having the vaccine?
The advice on recovering from the mild systems is to get rest and take a normal dose of paracetamol.