The present invention relates to a method for controlling invertebrate pests, in particular arthropod pests and nematodes, by using pyridine compounds of formulae I or II and the salts thereof, the tautomers thereof, the N-oxides thereof and the salts of the tautomers or N-oxides thereof, where the radical A is of the formula A, wherein # denotes the point of attachment to the remainder of formulae I or II, and wherein A1 is N or C-RA1, A2 is N or C-RA2, A3 is N or C-RA3, A4 is N or C-RA4 and A5 is N or C-RA5, provided that one or two of the variables A1, A2, A3, A4 or A5 is N; RA1, RA5, if present, are H, halogen, CN, NO2, C1-C6-alkyl, C1-C6-haloalkyl and the like; RA2, RA4, if present, are H, halogen, CN, NO2, C1-C10-alkyl, C1-C10-haloalkyl and the like; RA3, if present, is H, halogen, CN, NO2, C1-C10-alkyl, C1-C10-haloalkyl and the like; R1 is H, CN, C1-C10-alkyl, C1-C10-haloalkyl and the like; R2 is H, halogen, methyl, C1-haloalkyl and the like; R3 is H, halogen, C1-C4-alkyl, C1-C3-haloalkyl and the like; X1 is S, O or NR1a, wherein R1a is H, C1-C10-alkyl and the like; X2 is OR2a, NR2bR2c or S(O)mR2d, wherein m is 0, 1 or 2, R2a is C1-C4-alkyl, C1-C4-haloalkyl and the like, R2b and R2c are H, C1-C4-alkyl, C1-C4-haloalkyl and the like, or R2b and R2c together with the nitrogen atom to which they are bound form a heterocycle, and R2d is C1-C4-alkyl, C1-C4-haloalkyl, C3-C6-cycloalkyl and the like. The present invention further relates to a method for protecting plant propagation material and/or the plants which grow therefrom, to plant propagation material, comprising at least one compound of formulae I or II, their salts or N-oxides, and to an agricultural composition containing at least one compound of formulae I or II, their salts or N-oxides.La présente invention concerne un procédé permettant de lutter contre les nuisibles invertébrés, en particulier les arthropodes et les nématodes nuisibles, en utilisant des composés de pyridine de formule (I) ou (II) et leu