I think the trick is to use cold water and some mild bar soap or if you can get it a stain removing bar. We have one here called Sard (I think it has eucalyptus oil in it), but any soft white bar soap should do. Use white rags (bits of towel are good) and just gently dab with soap and water and blot, then dab with plain water and blot. It is time consuming but should work. Just don't get everything too wet and don't scrub at the fabric, just gentle dabs.
I am sure everyone will have some good ideas...good luck.