Victory saw Newcastle move up into 13th place in the Premier League table, four points clear of the bottom three.
Wes Hoolahan gave Republic of Ireland a lead they fully deserved, before Sweden captain Zlatan Ibrahimovic created the equaliser in the 71st minute when his cutback was turned into his own net by Irish defender Ciaran Clark
Republic of Ireland manager Giovanni Trapattoni on Monday called up Aston Villa defender Ciaran Clark to his injury-ravaged squad for the World Cup qualifiers against Germany and the Faroe Islands.
Emmanuel Adebayor scored a second-half penalty on Sunday to give 10-man Tottenham a 1-1 draw at Aston Villa that keeps alive its hopes of finishing in the top four of the Premier League.