The series, starring X-Files actress Gillian Anderson, focuses on a serial killer on the loose in Belfast and the female detective superintendent in charge of the investigation.
According to TV Wise, BBC America is considering adding the upcoming series to its 'Dramaville' block later this year, which in the past has included shows like Luther and The Hour.
While no deals have been made to pick up the series yet, sources say that the network is very close to signing a deal for the five-part drama.
The Fall also stars Once Upon a Time actor Jamie Dornan, ex-Hollyoaks star Gerard McCarthy, Holby City's Niamh McGrady, and Emmy-winning Good Wife actress Archie Panjabi.
Hollyoaks actors Emmett Scanlan and Karen Hassan have also signed on to star.
The Fall debuts this winter on BBC Two in the UK.