(CNN) Georgia Democrat Stacey Abrams is discussing a possible run for one of Georgia's seats in the US Senate in 2020 and has already started talking with top Democrats about a potential bid.

Abrams met separately on Thursday with both Senate Minority Leader Chuck Schumer and Sen. Catherine Cortez Masto, the chair of the Democratic Senatorial Campaign Committee, to discuss a possible US Senate run in 2020, according to a source familiar with the meetings.

Abrams electrified Democrats with her unsuccessful bid for Georgia governor in 2018, losing by less than 2 points to Gov. Brian Kemp and just narrowly missing the threshold for forcing a runoff (that would have required holding Kemp, who finished with 50.2% of the vote, under 50%).

And Abrams has continued to stoke speculation about her political future in the weeks since the midterms -- in mid-December, she told a crowd at Fortune's Most Powerful Women summit that "yes, I'm going to run again," adding, "What it is I'm going to run for I haven't decided yet -- stay tuned."

The near-miss in 2018 left Georgia Democrats frustrated. Abrams considered a series of legal challenges, including an unprecedented attempt to request another election, and conceded nearly a week and a half after Election Day, saying that "the law currently allows no further, viable remedy."

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