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Financial terms were not disclosed.
"On the team side, when you look at the team and the potential for the team is what excites me the most," Brodziak told the Oilers website. "Last year was a down year but you look at the roster and the players that the Oilers have. The potential for something special to happen is exciting for me personally."
The 34-year-old center had 33 points (10 goals, 23 assists) in 81 games with the St. Louis Blues last season. It was his best offensive season since 2011-12, when he had 44 points (22 goals, 22 assists) for the Minnesota Wild.
"When I got traded away from Edmonton to go to Minnesota, looking back on it, it was a pretty good opportunity to establish myself as an everyday NHL player," he said. "My game has grown in a lot of different areas over that time. Individually I've grown and as a person, I've grown.
"The timing to come back here seems like a pretty good fit. That's something that excites me quite a bit."
Selected by the Oilers in the seventh round (No. 214) in the 2003 NHL Draft, Brodziak has 287 points (123 goals, 164 assists) in 847 NHL games and 12 points (five goals, seven assists) in 57 Stanley Cup Playoff games.
"We did some analytics on Brodziak, with those [penalty kill] guys that were over 80 minutes in PK time on the ice," Oilers general manager Peter Chiarelli said. "I call them stick touches, sticks in lanes, sticks on pucks in lanes and blocked shots, he was ranked 19th in penalty killers in the League. You combine that with his face-off abilities and his historic percentages and we've improved there."
