Spain striker Alvaro Morata was booed by the home crowd after spurning a handful of chances.
Sweden goalkeeper Robin Olsen made some fine saves to keep La Roja at bay, including a stunning low save from Daniel Olmo’s first-half header.
“He has the personality to endure it and I would more like (him) to be applauded,” Spain boss Luis Enrique said about Morata post-game.
“Morata is a great player who does things well in attack and defence. I have heard the whistles for Morata but then he was applauded off.
“He does a lot for the team and he is used to these situations so I do not think it will affect him.”
Elsewhere on Monday, Slovakia produced a memorable 2-1 victory against Poland in St Petersburg.
Robert Mak went on a great run down the left before his shot hit the post and went in off Poland keeper Wojciech Szczesny in the 18th minute.
Poland leveled straight after the resumption, with Karol Linetty firing home but Inter Milan defender Milan Skriniar lashed home from a corner to win it for Slovakia in the 69th minute.
Patrik Schick scored the likely goal of the tournament as Czech Republic won 2-0 over Scotland in Glasgow.