Hall, 25, spent the last two seasons with the Falcons, recording a combined 12 receptions for 209 yards and two touchdowns. He had 10 receptions in 2018. He had previously spent time on the Raiders' and Cardinals' practice squads.
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Hall also had a role in the Falcons' kickoff return game last season, averaging 23.7 yards per return.
Earlier in the week, Chicago signed receiver and return specialist Cordarrelle Patterson to a two-year, $10-million contract.