Hi,
I had the same 'problem' in Burkina Faso. I left my bike in Ouaga for a year and then returned to travel on. I entered Burkina on a three months Laissez Passer (temp. import permit). Because I was traveling on to countries for which I needed a Carnet I had a Carnet with me when I returned to Burkina.
I was a bit worried how I could get the Carnet stamped with the bike already in the country. So I went to the nearest (very small) bordertown first, but the man from customs did not want to stamp the carnet...:-(
Next option was customs at the airport in Ouagadougou. I went in, showed them the Carnet and said a had a serious problem: i didn't know how to get this carnet stamped, and ask him for help. He then invited me for tea and called in all the man who never saw a carnet before. The Big BOss himself then showed all how to fill in a Carnet and told them about the procedure. When finished he thanked me and in less the half an hour I was out of Ouaga again with my bike officially in the country.
I never had to use the story i prepared that I had to leave Burkina because of family problems in Holland. I think you best just go to Customs at Lima airport and tell the truth about the situation but with a good (made up) story on why you had to leave Peru and, seriously, ask them for help. Keep smiling and act helpless. You probably will get a new permit (or a Carnet stamped) with a little hassle and maybe some money.
Good Luck
Peter
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