Setting an example for all celebrity couples getting a divorce, American baseball player Alex Rodriguez and his wife Cynthia quietly settled their multimillion-dollar divorce case, the New York Daily News reported Thursday.

Details regarding the terms of the settlement are scarce but the most important part is that the couple "have amicably resolved their dissolution of marriage proceedings," according to People.com.

"They deliberately engaged in a private negotiation. During the negotiations and resolution all decisions were made with the best interests of their children as the paramount concern," a statement issued by the lawyers for the former couple said. The pact is now expected to be filed in court in Florida, where Cynthia first filed for the breakup.

It's only been two months since Rodriguez's wife Cynthia filed for divorce amid rife speculation that the New York Yankees star was having a secret affair with Madonna.

But despite the rumors that linked A-Rod to Madonna, Cynthia's court papers didn’t mention the singer’s name. Moreover, Madonna herself denied those rumors, saying that she knew the Yankees player through Guy Oseary but they weren’t "romantically" involved.

Blaming her husband's "long period of infidelity" for wrecking their marriage, Cynthia accused A-Rod of "emotionally abandoning" her and their children, and  demanded the couple's $12 million (GBP6.6 million) waterfront estate in Coral Gables, Florida, in her divorce petition. The mother of his two children, Natasha, 3, and Ella, five months, also asked for alimony and child support from A-Rod, who made $28 million this season, in addition to life and health insurance and enough money to pay for private schools so she and the kids can maintain the "high standard of living" they're used to.

In his own petition, Rodriguez asked that the original pre-nuptial agreement with his estranged wife stand in their divorce battle. The couple, who got married in November 2002, signed an ante-nuptial agreement the month before their marriage. Cynthia reportedly signed the pre-nup "with the assistance of counsel of her own choosing, freely and voluntarily ... and with full and complete financial disclosure of husband's income, assets and liabilities." According to Huston lawyer Earle Lilly, Cynthia was "devastated" and "tremendously traumatized," upon her decision to file for divorce.

A-Rod admitted that the marriage was "irretrievably broken," thus enforcing his pre-nup and asking that any charges that he cheated on Cynthia be removed. His legal response argued that his wife's accusations that he emotionally abandoned her and their daughters and carried on "extramarital affairs and other marital misconduct" were "immaterial and impertinent and should be stricken."

A-Rod asked for shared custody of the children but admitted that Cynthia is in fact a "loving and nurturing mother." He also accepted to continue paying "reasonable and bona fide expenses" per a co-parenting agreement seeking shared responsibility for their "wealth, health, education and religious upbringing" in the future.