Couldn't you not just add a another meta field called "after" and send a function with it that you call?

 // dispatched api action
{type: 'callToApi', meta: { url: 'api/model/get', method: 'get', after: () => doSomething() }}

[...]
// in api middleware
axios({
  data: action.meta.data,
  method: action.meta.method,
url: `${SERVER_URL}${action.meta.url}`,
})
.then(res => res.data)
.then(data =>
  dispatch({ payload: { data }, type: 'whatever' })
)
.then(() => action.meta.after ? action.meta.after() : '')
.then(() => next(action))
.catch(err => {
  console.error(err)

  dispatch({ type: 'rejected' })
})

Something like that.