It is believed the Canucks want a young, NHL-proven defenseman, a top forward prospect and a first-round draft pick in exchange for Edler.
A source close to the situation told TFP that the Canucks have informed some teams that Edler is no longer available, primarily due to the team's unwillingness to meet their demands.
The Philadelphia Flyers, Detroit Red Wings and Toronto Maple Leafs are among the teams still believed to be speaking with the Canucks about Edler, while the Montreal Canadiens, Tampa Bay Lightning and Dallas Stars have expressed interest at some point.
Trade talks will continue up until Wednesday's 3pm ET trade deadline, and could be revisited in the off-season if a deal is not reached.
Edler, 27, has a no-trade clause and must approve any deal the Canucks try to complete. It is not yet known if they have approached him requesting a list of teams he would not accept a deal to.