To get a better insight into US-Swedish relations in the wake of Obama's visit, we spoke to Michael Winiarski, one of Swedish newspaper Dagens Nyheter's foreign correspondents who accompanied Obama and Reinfeldt for much of the presidential visit.
Winiarski says that one area where Reinfeldt and Obama have different views is the role of the UN Security Council on Syrian, where Obama would be prepared to go it alone.
Sweden's instinct is however that such undertakings should be first approved by the Security Council, Winiarski says.
On a purely party political level however, Winiarski suggests that the differences between Reinfeldt being leader of Sweden's centre-right Moderate Party, which traditionally has leaned towards the Republican Party, are minor.
Given this, and that in 2001 Sweden's then Socialist Party leader Göran Persson received US President George Bush, a Republican, the US arguably now sees Sweden as a "go-to" country where they know that they tend to be welcome.
"The relations and interactions between Sweden and the United States are probably warmer than ever in recent history," Winiarski concludes.