European Super League plans "were not discussed" when Manchester United's Ed Woodward attended a meeting at No 10, according to Downing Street.
Four days later, it was announced that six Premier League teams had signed up for the ESL.
The Sunday Times reported that the plans were discussed in the Downing Street meeting.
All six Premier league sides - United, Arsenal, Chelsea, Liverpool, Manchester City and Tottenham - withdrew from the plans on Tuesday, 20 April, after widespread criticism and protests. The prime minister was among those who criticised the plans publicly.
The prime minister's official spokesman told reporters on Monday that, while chief of staff Rosenfield and Woodward did meet at Downing Street, the European competition proposal was "not discussed".