The encroachments during a 2-0 qualifying victory for the world champions in Tbilisi followed an incident earlier in the week when a Georgia supporter interrupted Germany training to touch the boots of Bastian Schweinsteiger.
And the Georgian Football Federation (GFF) released a statement on Tuesday revealing its concerns over possible UEFA sanctions.
The GFF also vowed to improve security measures in the wake of the incidents.
Georgia host Scotland in September following a trip to Poland in June.
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