When you are looking for the imports and exports between countries, you can use the database IMF Direction of Trade Statistics (DOTS). This database does not collect trade by commodity, this data is collected by the United Nations in their Commodity Trade Statistics database – COMTRADE.
A quick tip: in DOTS c.i.f. means ‘cost, insurance, freight’ – imports are valued at the c.i.f. transaction value at the frontier of the importing country. f.o.b. means ‘free on board’ – for exports, the guidelines recommend valuation at the f.o.b. transaction value at the frontier of the exporting country.