At the White House meeting Monday, the Israeli leader emphasized the threat from Iran.
The plan will establish nationwide benchmarks for carbon emissions and fuel efficiency.
Expectations are high that Obama will nominate a woman. Though female jurisprudence is not much different from that of male judges, women tend to be more pro-women's rights and to tilt more toward plaintiffs in sex-discrimination cases.
Key GOP leaders came to woo the NRA's annual convention this weekend, one sign of the group's growing clout.
When the leaders meet Monday, the US will push for progress toward a Palestinian state, while Israel will ask for a harder line on Iran.
Governor Jon Huntsman of Utah is a Republican moderate and China expert seen as a possible presidential candidate.