The court battle boiled over last month when Pearl Harbor star Baldwin accused his former partner of violating an existing custody order when she allegedly refused to hand over Ireland for a scheduled visit by her dad.
The actor was so enraged he called the police and then filed legal papers calling for more custody privileges.
In the latest court papers, obtained by new celebrity scandal website TMZ.com, Baldwin recalls one evening when Sir Paul McCartney and his wife Heather invited the actor and his daughter to a concert in Los Angeles, but, as it wasn't his turn for custody, they couldn't attend.
Basinger has been fighting to keep details of the couple's latest spat under wraps, but Baldwin insisted the battle go public, declaring through his lawyer, "I look forward to resolving all this in court."
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