The move by Oracle is its first since the US Supreme Court allowed the case to continue and suggests the litigation could be far from over.
The closely watched case involves how much copyright protection should extend to Java programming language, which Google used to design its Android smartphone operating system.
Google's Android operating system is the world's best-selling smartphone platform. Oracle sued Google five years ago and is seeking roughly $1 billion (roughly Rs. 6,367 crores) in copyright claims.
Oracle said it wants to update the copyright lawsuit, filed in October 2010, to add that Google continues its copyright infringement through updated versions of Android in both existing and new markets and this is resulting in harm to Oracle and benefit to Google.
"The record of the first trial does not reflect any of these developments in the market, including Google's dramatically enhanced market position in search engine advertising and the overall financial results from its continuing and expanded infringement," Oracle wrote in a letter to Judge William Alsup on Wednesday.
A Google representative declined to comment.
Last month, the US Supreme Court upheld an appeals court's ruling that allows Oracle to seek licensing fees for the use of some of the Java language. Google had said it should be able to use Java without paying a fee.
© Thomson Reuters 2015