Hundreds of miles from the New Hampshire presidential primary, aides to former New York City Mayor Michael Bloomberg eyed the solid victories Tuesday by Bernie Sanders and Donald Trump as potential boosts to a Bloomberg candidacy.

The results were just one more sign to Bloomberg’s advisers that he may have an opening as Democrats and Republicans embraced candidates they said were unlikely to resonate with voters in a general election. Bloomberg is expected to meet with Frank Luntz, the pollster and market researcher, this week, according to a person familiar with the matter.