Narrative:

Center gave us a clearance to descend from FL390 to FL290. I read it back and we started a descent. As we were descending we did get a TCAS alert of traffic less than 1;000 feet; but the PF (pilot flying) went to vertical speed to slow our rate down to avoid an RA. About 400 feet in descent; ATC queried us if we were still level at FL390. We said no that we were in a descent to FL290. He proceeded to say that we were not supposed to descend. I told him that's what he gave to us. He said no it was for our company [callsign]. He asked them; and of course; they were descending to FL290. So we must have gotten blocked on our transmission. That's probably why ATC didn't correct us because he only heard [the callsign]. The frequency was very congested due to center and surrounding airports being closed at the time; and that was also why we were running late. There was no issue with the traffic off of our right wing that we got a traffic alert on. Our company asked if their altitude was corrected because of doubt. ATC said 'yes.' later ATC said that it was not a problem.

Google
 

Original NASA ASRS Text

Title: Air carrier flight crew and an enroute Controller reported an airborne conflict occurred when the flight crew took a descent clearance intended for another aircraft. Controller suggested that increased workload associated with COVID-19 procedures contributed to the event.

Narrative: Center gave us a clearance to descend from FL390 to FL290. I read it back and we started a descent. As we were descending we did get a TCAS alert of traffic less than 1;000 feet; but the PF (Pilot Flying) went to Vertical Speed to slow our rate down to avoid an RA. About 400 feet in descent; ATC queried us if we were still level at FL390. We said no that we were in a descent to FL290. He proceeded to say that we were not supposed to descend. I told him that's what he gave to us. He said no it was for our Company [callsign]. He asked them; and of course; they were descending to FL290. So we must have gotten blocked on our transmission. That's probably why ATC didn't correct us because he only heard [the callsign]. The frequency was very congested due to Center and surrounding airports being closed at the time; and that was also why we were running late. There was no issue with the traffic off of our right wing that we got a Traffic Alert on. Our Company asked if their altitude was corrected because of doubt. ATC said 'yes.' Later ATC said that it was not a problem.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.