The price per share is now $6.10 as BGC tries to persuade shareholders to reject an offer from CME and GFI management.
The acceptance period has been extended to 3 February.
The move came in response to CME upping their own bid to $5.85, which trumped BGC's last price of $5.60.
The bidding had originally started at $5.25 per share.
BGC has also pledged to pay $6.20