The German international left the Gunners in 2016 and spent one season with Werder Bremen before going on to join Bayern Munich 12 months later.
Gnabry has been a success with the Bundesliga giants and has scored 59 goals in just under 160 appearances during his time at the Allianz Arena.
However, talks over a new contract are not progressing as hoped and Sport BILD say Spurs are showing interest in a possible move for the winger.
La Liga keeper wanted
Spanish newspaper Marca have claimed Spurs are keen to sign Athletic Bilbao goalkeeper Unai Simon.
The 24-year-old has been in fine form this season, conceding just 19 goals in 23 games in all competitions.
Simon was made Spain number one at Euro 2020 and is attracting interest from around Europe. He is under contract until the summer of 2025 and would command a significant fee if Spurs were to submit a bid for his services.
Spurs make decision on future of Dutch international
Tottenham’s Steven Bergwijn was linked with a move to Ajax during the January transfer window but remained with the club after scoring two late goals in a dramatic 3-2 win at Leicester City.
That performance earned him a starting place in a 2-0 defeat at Chelsea four days later - but Bergwijn has played just 26 minutes of Premier League football since.
Italian outlet Gazzetta dello Sport has suggested Spurs will allow the forward to leave at the end of the season and have stated AC Milan are ready to make a move.
Competition for Brazilian defender
Spurs are one of several clubs monitoring Torino centre-back Gleison Bremer.
The 24-year-old defender recently signed a new two-year deal with the Serie A club - but that might not prevent him leaving for a new challenge at the end of the season.
The £34million-rated Brazilian international is said to be attracting interest from the likes of Newcastle, Inter, Napoli and Juventus - but Sky Germany have reported Bayern Munich are ready to make a firm move for his services.