The meeting has been presented as an opportunity to talk about how to move on with reforms after the EU Parliament election.
However, the Financial Times reports that this meeting could be part of British PM David Cameron's campaign against the centre-right candidate for President of the EU Commission.
Cameron has called Jean-Claude Juncker "totally unacceptable", as he is representing a federalist vision for Europe, meaning more integration.
But Juncker is the official candidate of the EPP group, which Germany's Angela Merkel and Reinfeldt's parties are part of. Cameron's Conservative Party left the EPP to form their own EU-critical group with other conservative allies. But Cameron has good personal ties with some other conservative leaders and may use the meeting in Sweden as a chance to lobby to stop Juncker.
The Financial Times quotes an official involved in preparing the meeting as saying: "The Brits have to tread carefully…They can't push too much on this issue. Their standing is not high at the moment."
However, Reinfeldt told Swedish Television News that there will be other opportunities for discussing the individuals who will take top positions after the election.
"For us it's important to talk about economic reforms in EU countries and the important issues coming up, like the free-trade agreement, a different EU budget, and the internal market," Reinfeldt said.
The conservative leaders from the UK, Germany, Netherlands and Sweden who will attend the mini-summit are supporters of austerity, cuts and deregulation within the EU.
Based on the latest EU-treaty the next president of the Commission should be chosen by taking into account the result of the EU Parliament election, and must be passed by the parliament. Cameron wants to stay with the old system, where the heads of the EU governments decide.