The Rochester Republican said people have talked to her about running for the House District 25B seat in 2016.
"I have been approached by people at the state level," Bly said in a text message.
At this point, she said she has not talked with local the local Republican party about a run. She added, it's "fair to say I am considering my options."
Bly ran unsuccessfully for the Minnesota House twice against Rochester DFL Rep. Tina Liebling in 2012 and 2014. She previously served on the Rochester School Board for 12 years.
Bly ran in Liebling's district because she has been living in the Rochester Better Chance home as a resident director. Bly owns a home in Norton's district and said the family is planning to move back there in June.
Norton announced last week she would not run for a sixth term. Republicans believe they have a good chance at winning the seat, which was held by Republicans for decades prior to Norton's 2006 win. Democrats counter that the district's demographics have changed in their favor, noting DFLers have done well in recent years. In 2014, both Sen. Al Franken and Gov. Mark Dayton won the district. President Barack Obama also carried the district in 2012.
One Democrat has expressed interest in running for the seat. Retired Rochester Realtor Duane Sauke has said he is considering a bid for the seat.