Google's Motorola Mobility unit has made offers to Microsoft in hopes of settling a pair of contentious patent infringement suits in which Motorola's smartphones were using Microsoft's patented ActiveSync software, while Microsoft's Xbox 360 was using Motorola's patented video compression system.

According to Bloomberg, Motorola offered to pay 33 cents to Microsoft for every smartphone it ships with ActiveSync software in order to avoid an import ban from the International Trade Commission. ActiveSync was developed by Microsoft to push e-mail and other notifications to smartphones, and in 2010 Microsoft sued the phone company (then unaffiliated with Google) for infringement. At the time Microsoft specifically accused the Droid 2 and the Charm of infringing patents.

Motorola has also offered an olive branch of sorts to Microsoft, lowering its demands for licensing fees on the proprietary video compression software found on devices running Windows to 50 cents per unit that uses the software. In addition, Motorola is asking for 2.25 percent of the retail price on each Xbox 360.

The ITC has threatened both companies with import bans if they can't come to licensing agreements and continue to use the others' software. Motorola is in somewhat more dire straights, as an import ban on its phones using ActiveSync is set to go into effect July 17th, barring the intervention of President Obama. An ITC judge also recommended that the Xbox suffer import bans, but several companies and congressmen have rallied to Microsoft's side including Apple, Nokia, and HP, along with representatives from California, Washington, and Texas.

Still, it looks like Microsoft is playing hard to get. Bloomberg reports that Horacio Gutierrez, Microsoft’s deputy general counsel for intellectual property, said in a statement, “While we welcome any good faith settlement effort, it’s hard to apply that label to a demand that Microsoft pay royalties to Google far in excess of market rates, that refuses to license all the Microsoft patents infringed by Motorola.”

Note: this story was updated with a correction to the requests made by Motorola for licensing fees from Microsoft's Windows and Xbox 360.