Last week, the German payment processor saw its share price fall 98% overnight after its auditor EY found a €1.9bn hole in its balance sheet.
The German lender is the first member of the blue-chip index to go out of business just two years after being included in September 2018.
Deutsche Boerse said it will consult with market participants on the proposals for changes to the DAX rulebook.
“Trust in the capital markets has obviously suffered in recent days,” the firm said in a statement.
“We have decided to intensively analyse and revise the rules and regulations with the involvement of the regulators, as well as the rules for membership of the DAX family.”
The DAX, which trades on the Frankfurt Stock Exchange, comprises of Germany’s 30 largest companies by market capitalisation and liquidity.
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