As far as federal-level bills go (which I assume you're talking about), we've got three bills to this end currently making their runs through Congress.
HR 822 was passed by the House in November and currently sits with the Senate Judiciary Committee.
S 2188 (which parallels HR 822 in many ways) hasn't started through the committees in the Senate, yet, and sits with the Senate Judiciary Committee
S 2213 (which differs from both the others by allowing a resident ID from a Constitutional Carry state to operate as a CCW) hasn't started through the committees in the Senate, yet, and sits with (you guessed it) the Senate Judiciary Committee.
This committee might best be described as the place where good gun bills go to die. Its Democrat-majority membership includes big names on the left like Sens. Patrick Leahy, Richard Durbin, Chuck Schumer, Al Franken, and Dianne Feinstein. Most likely, these three bills will die from inactivity without pressure placed on the SJC by voters.