The phrase "second bid" refers to a second attempt or offer to do something, especially in a competitive situation where someone is trying to win or get what they want.
That's part of the reason we wait so long with out second bid. (justarsenal.com)
The Chelsea chief executive, Peter Kenyon, travelled to Madrid on Wednesday to meet the Real director, José Angel Sánchez, though the Londoners» second bid for Robinho, worth about # 26m, has been turned down. (caughtoffside.com)
According to the UK Guardian, the Gunners accepted City's second bid of # 55m plus # 5m in add - ons on Thursday, but the deal could only be ratified if Arsene Wenger brought in a new attacking player. (dailypost.ng)