Minimal example of py.test funcargs where one parameter is static and the other varying.

test_funcargs_combo.py

import py

def pytest_generate_tests(metafunc):
    fargs = {}

    if 'static' in metafunc.funcargnames:
        fargs['static'] = 'stays the same'

    if 'different' in metafunc.funcargnames:
        for variant in (1,2):
            metafunc.addcall(funcargs=dict(different=variant, **fargs))
    else:
        metafunc.addcall(funcargs=fargs)

def test_funcargs_static(static):
    assert static == 'stays the same'

def test_funcargs_different(different):
    assert different in (1,2)

def test_funcargs_combo(static, different):
    assert static == 'stays the same'
    assert different in (1,2)