I think this is a good topic for the case of paying multiple invoices [ and credit notes] to [or even being paid from] the same party.
Monthly 'statements' ('relevé' ou 'bordereau' en français) are quite common practice providing a recap of the invoicing movements (NB invoices typically already recap the delivery notes/slips).
In fact, in France these are typically sent with an 'LCR' or bill of exchange (read 'commercial paper'). There are also TIPs or Titres Interbancaire de Paiement (TIP-SEPA).
It seems that the 'grouping' could possibly be generalised prior to payment in order to generate the above mentioned 'relevé'.
In the case of these bills with a future due date (à l'échéance), the French PCG has allocated special intermediate accounts '403xxx Fournisseurs - Effets à payer' in parallel with the typical '401xxx Fournisseurs'.
For example, when signing and returning a bill of exchange one creates a movement C403xxx/[one or more D401xxx] such that at payment clearing only the single payment needs be reconciled (unfortunately I haven't had opportunity yet to fully test account_payment_clearing to see how it works here).
Lefebvre* indicates that for EDIFACT commercial bank transfers (VCOM), a subdivision of 403 such as 4031xxxx Virements à Payer' could be used similarly
Lefebvre* Comptable - Les opérations financières - Schémas usuels de comptabilisation
So, it appears that perhaps this intermediate 'regrouping' into 'statements', even if only internally used, could potentially solve numerous issues and even be quite useful to the SEPA payment/clearing module as well.