Romelu Lukaku's brace helped Belgium open their Euro 2020 campaign with a 3-0 win over Russia.
Erling Braut Haaland has claimed 17 goals in 13 games this season, including six in four Champions League games as the competition's joint top-scorer.
The transfer means that Thomas Meunier will not feature for PSG in the Champions League quarter-finals when the competition resumes this August in Lisbon.
Dortmund have fended off interest from Tottenham, Arsenal, Napoli and Valencia for Thomas Meunier, according to reports in German media.
Belgium overcame England to take third at the World Cup 2018.
Jonathan Ikone scored the opening goal for Paris Saint-Germain in the second minutes before Thomas Meunier scored a brace to put the match beyond Real Madrid's reach