Sir Paul McCartney may finish a recording by George Harrison.

The Beatles legends could be reunited on a song almost 12 years after George's death from cancer in 2001, as his widow, Olivia, has launched a project to complete demos made before his passing.

Olivia said: ''There is some more material. There may be a minute of something he was writing and it will never be finished. I had an idea of giving unfinished songs to different people - with one going to Paul.''

A source close to 'Band on the Run' hitmaker Paul said he is excited by the project, telling The Express newspaper: ''Paul is certainly keen to work on a George song.

''He misses George badly and this is an opportunity he won't pass up.''

After The Beatles - which also included John Lennon and Ringo Starr - split in 1970, they all pursued solo careers.

John was assassinated in 1980 but the remaining three reassembled in 1995 to work on demos of two songs, 'Free As A Bird', and 'Real Love' which he had composed but not completed for their 'Anthology' project.

Remembering George last year, Paul said: ''Every time I see something to do with George it brings back more memories than you would believe.

''He was my little mate on the school bus. A lot of fond memories. He's sorely missed by us all.''

George's last album, 'Brainwashed', was completed by his son, Dhani and released in 2002.