nextgroup across line border

[ZyX]

I want to create a syntax for filetype that looks like this:

    item0onLine0 item1onLine1
    item0onLine1 item1onLine1
    separatorLine
    item0onLine0 item1onLine0
    item1onLine1 item1onLine1
    ...

In order to do this I try

    syn match i0l0 /^item0onLine0/             nextgroup=i1l0
    syn match i1l0 / item1onLine0\n/ contained nextgroup=i0l1
    syn match i0l1 /item0onLine1/    contained nextgroup=i1l1
    syn match i1l1 / item1onLIne1\n/ contained

, but this works on first line only. How can I have next group located on the 
next line? `item0onLine1' cannot be matched reliably on its own. `item0onLine0' 
is always matched reliably.

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